Solve (3a+5b)(7b+11c)(13c+17d)(19d+23a) - ScanMath

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Type your math problem... (3a+5b)(7b+11c)(13c+17d)(19d+23a)

Question

Simplify the expression

26692 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 13585 b c^{2} d + 16445 b c^{2} a + 17765 b c d^{2}

Evaluate

(3 a + 5 b) (7 b + 11 c) (13 c + 17 d) (19 d + 23 a)

Multiply the terms

More Steps

(21 ab + 33 a c + 35 b^{2} + 55 b c) (13 c + 17 d) (19 d + 23 a)

Multiply the terms

More Steps

(273 ab c + 357 ab d + 429 a c^{2} + 561 a c d + 455 b^{2} c + 595 b^{2} d + 715 b c^{2} + 935 b c d) (19 d + 23 a)

Apply the distributive property

273 ab c \times 19 d + 273 ab c \times 23 a + 357 ab d \times 19 d + 357 ab d \times 23 a + 429 a c^{2} \times 19 d + 429 a c^{2} \times 23 a + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 273 ab c \times 23 a + 357 ab d \times 19 d + 357 ab d \times 23 a + 429 a c^{2} \times 19 d + 429 a c^{2} \times 23 a + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 357 ab d \times 19 d + 357 ab d \times 23 a + 429 a c^{2} \times 19 d + 429 a c^{2} \times 23 a + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 357 ab d \times 23 a + 429 a c^{2} \times 19 d + 429 a c^{2} \times 23 a + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 429 a c^{2} \times 19 d + 429 a c^{2} \times 23 a + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 429 a c^{2} \times 23 a + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 561 a c d \times 19 d + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 561 a c d \times 23 a + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 455 b^{2} c \times 19 d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 455 b^{2} c \times 23 a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 595 b^{2} d \times 19 d + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 595 b^{2} d \times 23 a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 715 b c^{2} \times 19 d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 13585 b c^{2} d + 715 b c^{2} \times 23 a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 13585 b c^{2} d + 16445 b c^{2} a + 935 b c d \times 19 d + 935 b c d \times 23 a

Multiply the terms

More Steps

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 13585 b c^{2} d + 16445 b c^{2} a + 17765 b c d^{2} + 935 b c d \times 23 a

Multiply the numbers

5187 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 13585 b c^{2} d + 16445 b c^{2} a + 17765 b c d^{2} + 21505 b c d a

Solution

More Steps

26692 ab c d + 6279 a^{2} b c + 6783 ab d^{2} + 8211 a^{2} b d + 8151 a c^{2} d + 9867 a^{2} c^{2} + 10659 a c d^{2} + 12903 a^{2} c d + 8645 b^{2} c d + 10465 b^{2} c a + 11305 b^{2} d^{2} + 13685 b^{2} d a + 13585 b c^{2} d + 16445 b c^{2} a + 17765 b c d^{2}

Show Solution