Solve 48(x-6)^5 16(x-6)^3

Evaluate

48 (x - 6)^{5} \times 16 (x - 6)^{3}

Multiply the terms

768 (x - 6)^{5} (x - 6)^{3}

Multiply the terms with the same base by adding their exponents

768 (x - 6)^{5 + 3}

Add the numbers

768 (x - 6)^{8}

Expand the expression

768 (x^{8} - 48 x^{7} + 1008 x^{6} - 12096 x^{5} + 90720 x^{4} - 435456 x^{3} + 1306368 x^{2} - 6^{7} \times 8 x + 6^{8})

Apply the distributive property

768 x^{8} - 768 \times 48 x^{7} + 768 \times 1008 x^{6} - 768 \times 12096 x^{5} + 768 \times 90720 x^{4} - 768 \times 435456 x^{3} + 768 \times 1306368 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Multiply the numbers

768 x^{8} - 36864 x^{7} + 768 \times 1008 x^{6} - 768 \times 12096 x^{5} + 768 \times 90720 x^{4} - 768 \times 435456 x^{3} + 768 \times 1306368 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Multiply the numbers

768 x^{8} - 36864 x^{7} + 774144 x^{6} - 768 \times 12096 x^{5} + 768 \times 90720 x^{4} - 768 \times 435456 x^{3} + 768 \times 1306368 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Multiply the numbers

768 x^{8} - 36864 x^{7} + 774144 x^{6} - 9289728 x^{5} + 768 \times 90720 x^{4} - 768 \times 435456 x^{3} + 768 \times 1306368 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Multiply the numbers

768 x^{8} - 36864 x^{7} + 774144 x^{6} - 9289728 x^{5} + 69672960 x^{4} - 768 \times 435456 x^{3} + 768 \times 1306368 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Multiply the numbers

768 x^{8} - 36864 x^{7} + 774144 x^{6} - 9289728 x^{5} + 69672960 x^{4} - 334430208 x^{3} + 768 \times 1306368 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Multiply the numbers

768 x^{8} - 36864 x^{7} + 774144 x^{6} - 9289728 x^{5} + 69672960 x^{4} - 334430208 x^{3} + 1003290624 x^{2} - 768 \times 6^{7} \times 8 x + 768 \times 6^{8}

Solution

768 x^{8} - 36864 x^{7} + 774144 x^{6} - 9289728 x^{5} + 69672960 x^{4} - 334430208 x^{3} + 1003290624 x^{2} - 6144 \times 6^{7} x + 768 \times 6^{8}

Simplify the expression