Solve (8w-1)(w^2+4w+7)(w^3-5)

$$( 8 w - 1 ) ( w ^ { 2 } + 4 w + 7 ) ( w ^ { 3 } - 5 )$$

Expand

$$8w^{6}+31w^{5}+52w^{4}-47w^{3}-155w^{2}-260w+35$$

Solution Steps

Use the distributive property to multiply 8w-1 by w^{2}+4w+7 and combine like terms.

$$\left(8w^{3}+31w^{2}+52w-7\right)\left(w^{3}-5\right)$$

Use the distributive property to multiply 8w^{3}+31w^{2}+52w-7 by w^{3}-5 and combine like terms.

$$8w^{6}-47w^{3}+31w^{5}-155w^{2}+52w^{4}-260w+35$$

Evaluate

$$\left(8w-1\right)\left(w^{2}+4w+7\right)\left(w^{3}-5\right)$$

Solution Steps

Use the distributive property to multiply 8w-1 by w^{2}+4w+7 and combine like terms.

$$\left(8w^{3}+31w^{2}+52w-7\right)\left(w^{3}-5\right)$$

Use the distributive property to multiply 8w^{3}+31w^{2}+52w-7 by w^{3}-5 and combine like terms.

$$8w^{6}-47w^{3}+31w^{5}-155w^{2}+52w^{4}-260w+35$$