Simplify the expression $\frac{2\left(\frac{x-7}{x+2}\right)\left(x+2-\left(x-7\right)\right)}{\left(x+2\right)^2}$

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$\frac{\frac{2\left(x-7\right)\left(x+2-\left(x-7\right)\right)}{x+2}}{\left(x+2\right)^2}$

Learn how to solve one-variable linear equations problems step by step online. Simplify the expression (2(x-7)/(x+2)(x+2-(x-7)))/((x+2)^2). Multiplying the fraction by 2\left(x+2-\left(x-7\right)\right). Divide fractions \frac{\frac{2\left(x-7\right)\left(x+2-\left(x-7\right)\right)}{x+2}}{\left(x+2\right)^2} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. When multiplying exponents with same base you can add the exponents: \left(x+2\right)\left(x+2\right)^2. Simplify the product -(x-7).