Solve (0.2+x)(0.2+x)

$$(0.2+x)(0.2+x)$$

Evaluate

$$\left(x+0.2\right)^{2}$$

Solution Steps

Multiply 0.2+x and 0.2+x to get \left(0.2+x\right)^{2}.

$$\left(0.2+x\right)^{2}$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(0.2+x\right)^{2}.

$$0.04+0.4x+x^{2}$$

Expand

$$x^{2}+\frac{2x}{5}+0.04$$

Solution Steps

Multiply 0.2+x and 0.2+x to get \left(0.2+x\right)^{2}.

$$\left(0.2+x\right)^{2}$$

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(0.2+x\right)^{2}.

$$0.04+0.4x+x^{2}$$