Solve (a-2/7)(a-3/4)

$$( a - \frac { 2 } { 7 } ) ( a - \frac { 3 } { 4 } )$$

Evaluate

$$a^{2}-\frac{29a}{28}+\frac{3}{14}$$

Solution Steps

Apply the distributive property by multiplying each term of a-\frac{2}{7} by each term of a-\frac{3}{4}.

$$a^{2}+a\left(-\frac{3}{4}\right)-\frac{2}{7}a-\frac{2}{7}\left(-\frac{3}{4}\right)$$

Combine a\left(-\frac{3}{4}\right) and -\frac{2}{7}a to get -\frac{29}{28}a.

$$a^{2}-\frac{29}{28}a-\frac{2}{7}\left(-\frac{3}{4}\right)$$

Multiply -\frac{2}{7} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$a^{2}-\frac{29}{28}a+\frac{-2\left(-3\right)}{7\times 4}$$

Do the multiplications in the fraction \frac{-2\left(-3\right)}{7\times 4}.

$$a^{2}-\frac{29}{28}a+\frac{6}{28}$$

Reduce the fraction \frac{6}{28} to lowest terms by extracting and canceling out 2.

$$a^{2}-\frac{29}{28}a+\frac{3}{14}$$

Expand

$$a^{2}-\frac{29a}{28}+\frac{3}{14}$$

Solution Steps

Apply the distributive property by multiplying each term of a-\frac{2}{7} by each term of a-\frac{3}{4}.

$$a^{2}+a\left(-\frac{3}{4}\right)-\frac{2}{7}a-\frac{2}{7}\left(-\frac{3}{4}\right)$$

Combine a\left(-\frac{3}{4}\right) and -\frac{2}{7}a to get -\frac{29}{28}a.

$$a^{2}-\frac{29}{28}a-\frac{2}{7}\left(-\frac{3}{4}\right)$$

Multiply -\frac{2}{7} times -\frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$a^{2}-\frac{29}{28}a+\frac{-2\left(-3\right)}{7\times 4}$$

Do the multiplications in the fraction \frac{-2\left(-3\right)}{7\times 4}.

$$a^{2}-\frac{29}{28}a+\frac{6}{28}$$

Reduce the fraction \frac{6}{28} to lowest terms by extracting and canceling out 2.

$$a^{2}-\frac{29}{28}a+\frac{3}{14}$$