Solve (1/7-y)(1/7-y)

$$( \frac { 1 } { 7 } - y ) ( \frac { 1 } { 7 } - y )$$

Evaluate

$$\frac{\left(1-7y\right)^{2}}{49}$$

Solution Steps

Multiply \frac{1}{7}-y and \frac{1}{7}-y to get \left(\frac{1}{7}-y\right)^{2}.

$$\left(\frac{1}{7}-y\right)^{2}$$

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{7}-y\right)^{2}.

$$\frac{1}{49}-\frac{2}{7}y+y^{2}$$

Expand

$$y^{2}-\frac{2y}{7}+\frac{1}{49}$$

Solution Steps

Multiply \frac{1}{7}-y and \frac{1}{7}-y to get \left(\frac{1}{7}-y\right)^{2}.

$$\left(\frac{1}{7}-y\right)^{2}$$

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{1}{7}-y\right)^{2}.

$$\frac{1}{49}-\frac{2}{7}y+y^{2}$$