Solve (8)(x-5)(x+5)(x^2+25)

$$( 8 ) ( x - 5 ) ( x + 5 ) ( x ^ { 2 } + 25 )$$

Evaluate

$$8\left(x^{4}-625\right)$$

Solution Steps

Use the distributive property to multiply 8 by x-5.

$$\left(8x-40\right)\left(x+5\right)\left(x^{2}+25\right)$$

Use the distributive property to multiply 8x-40 by x+5 and combine like terms.

$$\left(8x^{2}-200\right)\left(x^{2}+25\right)$$

Use the distributive property to multiply 8x^{2}-200 by x^{2}+25 and combine like terms.

$$8x^{4}-5000$$

Expand

$$8x^{4}-5000$$

Solution Steps

Use the distributive property to multiply 8 by x-5.

$$\left(8x-40\right)\left(x+5\right)\left(x^{2}+25\right)$$

Use the distributive property to multiply 8x-40 by x+5 and combine like terms.

$$\left(8x^{2}-200\right)\left(x^{2}+25\right)$$

Use the distributive property to multiply 8x^{2}-200 by x^{2}+25 and combine like terms.

$$8x^{4}-5000$$