Solve left(4/7-xright)left(4/7+xright)

$$\left( \frac{ 4 }{ 7 } -x \right) \left( \frac{ 4 }{ 7 } +x \right)$$

Evaluate

$$\frac{16}{49}-x^{2}$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(\frac{4}{7}\right)^{2}-x^{2}$$

Calculate \frac{4}{7} to the power of 2 and get \frac{16}{49}.

$$\frac{16}{49}-x^{2}$$

Expand

$$\frac{16}{49}-x^{2}$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(\frac{4}{7}\right)^{2}-x^{2}$$

Calculate \frac{4}{7} to the power of 2 and get \frac{16}{49}.

$$\frac{16}{49}-x^{2}$$