Solve (2x-5)*(3x+7)*(x^2-5x+8)*(x^3+7x+9)

$$(2x-5) \times (3x+7) \times ( { x }^{ 2 } -5x+8) \times ( { x }^{ 3 } +7x+9)$$

Evaluate

$$\left(2x-5\right)\left(3x+7\right)\left(x^{2}-5x+8\right)\left(x^{3}+7x+9\right)$$

Solution Steps

Use the distributive property to multiply 2x-5 by 3x+7 and combine like terms.

$$\left(6x^{2}-x-35\right)\left(x^{2}-5x+8\right)\left(x^{3}+7x+9\right)$$

Use the distributive property to multiply 6x^{2}-x-35 by x^{2}-5x+8 and combine like terms.

$$\left(6x^{4}-31x^{3}+18x^{2}+167x-280\right)\left(x^{3}+7x+9\right)$$

Use the distributive property to multiply 6x^{4}-31x^{3}+18x^{2}+167x-280 by x^{3}+7x+9 and combine like terms.

$$6x^{7}+60x^{5}+4x^{4}-31x^{6}-433x^{3}+1331x^{2}-457x-2520$$

Expand

$$6x^{7}-31x^{6}+60x^{5}+4x^{4}-433x^{3}+1331x^{2}-457x-2520$$

Solution Steps

Use the distributive property to multiply 2x-5 by 3x+7 and combine like terms.

$$\left(6x^{2}-x-35\right)\left(x^{2}-5x+8\right)\left(x^{3}+7x+9\right)$$

Use the distributive property to multiply 6x^{2}-x-35 by x^{2}-5x+8 and combine like terms.

$$\left(6x^{4}-31x^{3}+18x^{2}+167x-280\right)\left(x^{3}+7x+9\right)$$

Use the distributive property to multiply 6x^{4}-31x^{3}+18x^{2}+167x-280 by x^{3}+7x+9 and combine like terms.

$$6x^{7}+60x^{5}+4x^{4}-31x^{6}-433x^{3}+1331x^{2}-457x-2520$$