Solve 5x^7/3x^2-3(x+2)^2

$$\frac { 5 x ^ { 7 } } { 3 x ^ { 2 } } - 3 ( x + 2 ) ^ { 2 }$$

Evaluate

$$\frac{5x^{5}}{3}-3\left(x+2\right)^{2}$$

Short Solution Steps

Cancel out x^{2} in both numerator and denominator.

$$\frac{5x^{5}}{3}-3\left(x+2\right)^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3\left(x+2\right)^{2} times \frac{3}{3}.

$$\frac{5x^{5}}{3}-\frac{3\times 3\left(x+2\right)^{2}}{3}$$

Since \frac{5x^{5}}{3} and \frac{3\times 3\left(x+2\right)^{2}}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5x^{5}-3\times 3\left(x+2\right)^{2}}{3}$$

Do the multiplications in 5x^{5}-3\times 3\left(x+2\right)^{2}.

$$\frac{5x^{5}-9x^{2}-36x-36}{3}$$

Expand

$$\frac{5x^{5}}{3}-3x^{2}-12x-12$$

Short Solution Steps

Cancel out x^{2} in both numerator and denominator.

$$\frac{5x^{5}}{3}-3\left(x+2\right)^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 3\left(x+2\right)^{2} times \frac{3}{3}.

$$\frac{5x^{5}}{3}-\frac{3\times 3\left(x+2\right)^{2}}{3}$$

Since \frac{5x^{5}}{3} and \frac{3\times 3\left(x+2\right)^{2}}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5x^{5}-3\times 3\left(x+2\right)^{2}}{3}$$

Do the multiplications in 5x^{5}-3\times 3\left(x+2\right)^{2}.

$$\frac{5x^{5}-9x^{2}-36x-36}{3}$$