Solve 16x^2/4a+5b+5b(8a+5b)/4a+5b

$$\frac { 16 x ^ { 2 } } { 4 a + 5 b } + \frac { 5 b ( 8 a + 5 b ) } { 4 a + 5 b }$$

Evaluate

$$\frac{16x^{2}+40ab+25b^{2}}{4a+5b}$$

Short Solution Steps

Since \frac{16x^{2}}{4a+5b} and \frac{5b\left(8a+5b\right)}{4a+5b} have the same denominator, add them by adding their numerators.

$$\frac{16x^{2}+5b\left(8a+5b\right)}{4a+5b}$$

Do the multiplications in 16x^{2}+5b\left(8a+5b\right).

$$\frac{16x^{2}+40ba+25b^{2}}{4a+5b}$$

Expand

$$\frac{16x^{2}+40ab+25b^{2}}{4a+5b}$$

Short Solution Steps

Since \frac{16x^{2}}{4a+5b} and \frac{5b\left(8a+5b\right)}{4a+5b} have the same denominator, add them by adding their numerators.

$$\frac{16x^{2}+5b\left(8a+5b\right)}{4a+5b}$$

Do the multiplications in 16x^{2}+5b\left(8a+5b\right).

$$\frac{16x^{2}+40ba+25b^{2}}{4a+5b}$$