What is expand (4x-7)^3(8x-3) ?

The solution to expand (4x-7)^3(8x-3) is 512x^4-2880x^3+5712x^2-4508x+1029

expand (4x-7)^3(8x-3)

expand

(4 x - 7)^{3} (8 x - 3)

512 x^{4} - 2880 x^{3} + 5712 x^{2} - 4508 x + 1029

Solution steps

(4 x - 7)^{3} (8 x - 3)

Expand

(4 x - 7)^{3} : 64 x^{3} - 336 x^{2} + 588 x - 343

= (64 x^{3} - 336 x^{2} + 588 x - 343) (8 x - 3)

Distribute parentheses

= 64 x^{3} \cdot 8 x + 64 x^{3} (- 3) - 336 x^{2} \cdot 8 x - 336 x^{2} (- 3) + 588 x \cdot 8 x + 588 x (- 3) - 343 \cdot 8 x - 343 (- 3)

Simplify

64 x^{3} \cdot 8 x + 64 x^{3} (- 3) - 336 x^{2} \cdot 8 x - 336 x^{2} (- 3) + 588 x \cdot 8 x + 588 x (- 3) - 343 \cdot 8 x - 343 (- 3) : 512 x^{4} - 2880 x^{3} + 5712 x^{2} - 4508 x + 1029

= 512 x^{4} - 2880 x^{3} + 5712 x^{2} - 4508 x + 1029

\int \frac{x ^{2} + 1}{( x - 8 ) ( x - 7 ) ^{2}} d x

n = 1 \sum \infty n sin (\frac{3}{n})

x \to b lim (f (x) + g (x))

\int_{0}^{1} 2 π x (21 - 21 x) d x

l a pl a ce t r an s f or m (t - 1) cos (4 t - 4)

What is expand (4x-7)^3(8x-3) ?
The solution to expand (4x-7)^3(8x-3) is 512x^4-2880x^3+5712x^2-4508x+1029