Solve (0.8x^2+y^2)(0.8x^2-y^2)18

$$( 0.8 x ^ { 2 } + y ^ { 2 } ) ( 0.8 x ^ { 2 } - y ^ { 2 } ) 18$$

Evaluate

$$\frac{288x^{4}}{25}-18y^{4}$$

Solution Steps

Use the distributive property to multiply 0.8x^{2}+y^{2} by 0.8x^{2}-y^{2} and combine like terms.

$$\left(0.64x^{4}-y^{4}\right)\times 18$$

Use the distributive property to multiply 0.64x^{4}-y^{4} by 18.

$$11.52x^{4}-18y^{4}$$

Expand

$$\frac{288x^{4}}{25}-18y^{4}$$

Solution Steps

Use the distributive property to multiply 0.8x^{2}+y^{2} by 0.8x^{2}-y^{2} and combine like terms.

$$\left(0.64x^{4}-y^{4}\right)\times 18$$

Use the distributive property to multiply 0.64x^{4}-y^{4} by 18.

$$11.52x^{4}-18y^{4}$$