Solve (9a^2+4b^2)(3a-2b)(3a+2b)]=

$$( 9 a ^ { 2 } + 4 b ^ { 2 } ) ( 3 a - 2 b ) ( 3 a + 2 b ) ] =$$

Evaluate

$$81a^{4}-16b^{4}$$

Solution Steps

Use the distributive property to multiply 9a^{2}+4b^{2} by 3a-2b.

$$\left(27a^{3}-18a^{2}b+12b^{2}a-8b^{3}\right)\left(3a+2b\right)$$

Use the distributive property to multiply 27a^{3}-18a^{2}b+12b^{2}a-8b^{3} by 3a+2b and combine like terms.

$$81a^{4}-16b^{4}$$

Expand

$$81a^{4}-16b^{4}$$

Solution Steps

Use the distributive property to multiply 9a^{2}+4b^{2} by 3a-2b.

$$\left(27a^{3}-18a^{2}b+12b^{2}a-8b^{3}\right)\left(3a+2b\right)$$

Use the distributive property to multiply 27a^{3}-18a^{2}b+12b^{2}a-8b^{3} by 3a+2b and combine like terms.

$$81a^{4}-16b^{4}$$