Solve (5*4-54^2)+(-8*4+8y^3)

$$( 5 \times 4 - 54 ^ { 2 } ) + ( - 8 \times 4 + 8 y ^ { 3 } )$$

Evaluate

$$8\left(y^{3}-366\right)$$

Solution Steps

Multiply 5 and 4 to get 20.

$$20-54^{2}-8\times 4+8y^{3}$$

Calculate 54 to the power of 2 and get 2916.

$$20-2916-8\times 4+8y^{3}$$

Subtract 2916 from 20 to get -2896.

$$-2896-8\times 4+8y^{3}$$

Multiply -8 and 4 to get -32.

$$-2896-32+8y^{3}$$

Subtract 32 from -2896 to get -2928.

$$-2928+8y^{3}$$

Factor

$$8\left(y^{3}-366\right)$$

Solution Steps

Factor out 4.

$$4\left(-732+2y^{3}\right)$$

Consider 5-729-8+2y^{3}. Multiply and combine like terms.

$$2y^{3}-732$$

Consider 2y^{3}-732. Factor out 2.

$$2\left(y^{3}-366\right)$$

Rewrite the complete factored expression.

$$8\left(y^{3}-366\right)$$