Solve (4a^2+b^2)(2a-b)(2a+b)=

$$( 4 a ^ { 2 } + b ^ { 2 } ) ( 2 a - b ) ( 2 a + b ) =$$

Evaluate

$$16a^{4}-b^{4}$$

Solution Steps

Use the distributive property to multiply 4a^{2}+b^{2} by 2a-b.

$$\left(8a^{3}-4a^{2}b+2b^{2}a-b^{3}\right)\left(2a+b\right)$$

Use the distributive property to multiply 8a^{3}-4a^{2}b+2b^{2}a-b^{3} by 2a+b and combine like terms.

$$16a^{4}-b^{4}$$

Expand

$$16a^{4}-b^{4}$$

Solution Steps

Use the distributive property to multiply 4a^{2}+b^{2} by 2a-b.

$$\left(8a^{3}-4a^{2}b+2b^{2}a-b^{3}\right)\left(2a+b\right)$$

Use the distributive property to multiply 8a^{3}-4a^{2}b+2b^{2}a-b^{3} by 2a+b and combine like terms.

$$16a^{4}-b^{4}$$