Solve (2w^2-1.4)^2

$$( 2 w ^ { 2 } - 1.4 ) ^ { 2 }$$

Expand

$$4w^{4}-\frac{28w^{2}}{5}+1.96$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2w^{2}-1.4\right)^{2}.

$$4\left(w^{2}\right)^{2}-5.6w^{2}+1.96$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$4w^{4}-5.6w^{2}+1.96$$

Evaluate

$$\left(2w^{2}-1.4\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2w^{2}-1.4\right)^{2}.

$$4\left(w^{2}\right)^{2}-5.6w^{2}+1.96$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$4w^{4}-5.6w^{2}+1.96$$