Question
Simplify the expression
21x4−35x3y−6x3y8+10x2y9
Evaluate
(7x2−2xy6×y2)(3x2−5xy)
Multiply
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Evaluate
2xy6×y2
Multiply the terms with the same base by adding their exponents
2xy6+2
Add the numbers
2xy8
(7x2−2xy8)(3x2−5xy)
Apply the distributive property
7x2×3x2−7x2×5xy−2xy8×3x2−(−2xy8×5xy)
Multiply the terms
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Evaluate
7x2×3x2
Multiply the numbers
21x2×x2
Multiply the terms
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Evaluate
x2×x2
Use the product rule an×am=an+m to simplify the expression
x2+2
Add the numbers
x4
21x4
21x4−7x2×5xy−2xy8×3x2−(−2xy8×5xy)
Multiply the terms
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Evaluate
7x2×5xy
Multiply the numbers
35x2×xy
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
35x3y
21x4−35x3y−2xy8×3x2−(−2xy8×5xy)
Multiply the terms
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Evaluate
−2xy8×3x2
Multiply the numbers
−6xy8x2
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
−6x3y8
21x4−35x3y−6x3y8−(−2xy8×5xy)
Multiply the terms
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Evaluate
−2xy8×5xy
Multiply the numbers
−10xy8xy
Multiply the terms
−10x2y8×y
Multiply the terms
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Evaluate
y8×y
Use the product rule an×am=an+m to simplify the expression
y8+1
Add the numbers
y9
−10x2y9
21x4−35x3y−6x3y8−(−10x2y9)
Solution
21x4−35x3y−6x3y8+10x2y9
Show Solution

Factor the expression
x2(7x−2y8)(3x−5y)
Evaluate
(7x2−2xy6×y2)(3x2−5xy)
Multiply
More Steps

Evaluate
2xy6×y2
Multiply the terms with the same base by adding their exponents
2xy6+2
Add the numbers
2xy8
(7x2−2xy8)(3x2−5xy)
Factor the expression
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Evaluate
7x2−2xy8
Rewrite the expression
x×7x−x×2y8
Factor out x from the expression
x(7x−2y8)
x(7x−2y8)(3x2−5xy)
Factor the expression
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Evaluate
3x2−5xy
Rewrite the expression
x×3x−x×5y
Factor out x from the expression
x(3x−5y)
x(7x−2y8)x(3x−5y)
Solution
x2(7x−2y8)(3x−5y)
Show Solution
