Solve (21*21)-22/7(10.5+7)(10.5-7)

$$(21 \times 21)- \frac{ 22 }{ 7 } (10.5+7)(10.5-7)$$

Evaluate

$$248.5$$

Solution Steps

Multiply 21 and 21 to get 441.

$$441-\frac{22}{7}\left(10.5+7\right)\left(10.5-7\right)$$

Add 10.5 and 7 to get 17.5.

$$441-\frac{22}{7}\times 17.5\left(10.5-7\right)$$

Convert decimal number 17.5 to fraction \frac{175}{10}. Reduce the fraction \frac{175}{10} to lowest terms by extracting and canceling out 5.

$$441-\frac{22}{7}\times \frac{35}{2}\left(10.5-7\right)$$

Multiply \frac{22}{7} times \frac{35}{2} by multiplying numerator times numerator and denominator times denominator.

$$441-\frac{22\times 35}{7\times 2}\left(10.5-7\right)$$

Do the multiplications in the fraction \frac{22\times 35}{7\times 2}.

$$441-\frac{770}{14}\left(10.5-7\right)$$

Divide 770 by 14 to get 55.

$$441-55\left(10.5-7\right)$$

Subtract 7 from 10.5 to get 3.5.

$$441-55\times 3.5$$

Multiply 55 and 3.5 to get 192.5.

$$441-192.5$$

Subtract 192.5 from 441 to get 248.5.

$$248.5$$

Factor

$$\frac{7 \cdot 71}{2} = 248\frac{1}{2} = 248.5$$