What is 4x^2(2x-5)^2+8x^2(2x-5) ?

The solution to 4x^2(2x-5)^2+8x^2(2x-5) is 16x^4-64x^3+60x^2

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simplify 4x^2(2x-5)^2+8x^2(2x-5)

simplify

4 x^{2} (2 x - 5)^{2} + 8 x^{2} (2 x - 5)

16 x^{4} - 64 x^{3} + 60 x^{2}

Solution steps

4 x^{2} (2 x - 5)^{2} + 8 x^{2} (2 x - 5)

Expand

4 x^{2} (2 x - 5)^{2} : 16 x^{4} - 80 x^{3} + 100 x^{2}

= 16 x^{4} - 80 x^{3} + 100 x^{2} + 8 x^{2} (2 x - 5)

Expand

8 x^{2} (2 x - 5) : 16 x^{3} - 40 x^{2}

= 16 x^{4} - 80 x^{3} + 100 x^{2} + 16 x^{3} - 40 x^{2}

Group like terms

= 16 x^{4} - 80 x^{3} + 16 x^{3} + 100 x^{2} - 40 x^{2}

Add similar elements:

- 80 x^{3} + 16 x^{3} = - 64 x^{3}

= 16 x^{4} - 64 x^{3} + 100 x^{2} - 40 x^{2}

Add similar elements:

100 x^{2} - 40 x^{2} = 60 x^{2}

= 16 x^{4} - 64 x^{3} + 60 x^{2}

8 \cdot 10

p (x - 3 y) - (x - 2 p) (3 y - x)

\frac{3 b ^{2}}{b}

sin (x) - sin (x) cos^{2} (x)

(n^{2} + n) (2 n + 1)

What is 4x^2(2x-5)^2+8x^2(2x-5) ?
The solution to 4x^2(2x-5)^2+8x^2(2x-5) is 16x^4-64x^3+60x^2