Solve 5x*7x-8xdiv7*+4x=

$$5x \times 7x-8x \div 7 \times +4x=$$

Evaluate

$$\frac{213x^{2}}{7}$$

Short Solution Steps

Multiply x and x to get x^{2}.

$$5x^{2}\times 7-\frac{8x}{7}\times 4x$$

Multiply 5 and 7 to get 35.

$$35x^{2}-\frac{8x}{7}\times 4x$$

Express \frac{8x}{7}\times 4 as a single fraction.

$$35x^{2}-\frac{8x\times 4}{7}x$$

Express \frac{8x\times 4}{7}x as a single fraction.

$$35x^{2}-\frac{8x\times 4x}{7}$$

Multiply x and x to get x^{2}.

$$35x^{2}-\frac{8x^{2}\times 4}{7}$$

Multiply 8 and 4 to get 32.

$$35x^{2}-\frac{32x^{2}}{7}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 35x^{2} times \frac{7}{7}.

$$\frac{7\times 35x^{2}}{7}-\frac{32x^{2}}{7}$$

Since \frac{7\times 35x^{2}}{7} and \frac{32x^{2}}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7\times 35x^{2}-32x^{2}}{7}$$

Do the multiplications in 7\times 35x^{2}-32x^{2}.

$$\frac{245x^{2}-32x^{2}}{7}$$

Combine like terms in 245x^{2}-32x^{2}.

$$\frac{213x^{2}}{7}$$

Differentiate w.r.t. x

$$\frac{426x}{7}$$