Solve (x)left(x+1right)left(4x^2+20x+25right)

$$(x) \left( x+1 \right) \left( 4 { x }^{ 2 } +20x+25 \right)$$

Evaluate

$$x\left(x+1\right)\left(2x+5\right)^{2}$$

Solution Steps

Use the distributive property to multiply x by x+1.

$$\left(x^{2}+x\right)\left(4x^{2}+20x+25\right)$$

Use the distributive property to multiply x^{2}+x by 4x^{2}+20x+25 and combine like terms.

$$4x^{4}+24x^{3}+45x^{2}+25x$$

Expand

$$4x^{4}+24x^{3}+45x^{2}+25x$$

Solution Steps

Use the distributive property to multiply x by x+1.

$$\left(x^{2}+x\right)\left(4x^{2}+20x+25\right)$$

Use the distributive property to multiply x^{2}+x by 4x^{2}+20x+25 and combine like terms.

$$4x^{4}+24x^{3}+45x^{2}+25x$$