Question

PLs help with these 2 problems

Answer 1

The expressions are simplified to 2x and $\frac{2}{(x+ 1)(x - 1)}$

How to simply the expressions

1.

Given the expression;

$\frac{8x^2 - 4x}{4x - 2}$

Let's factorize the numerator;

$\frac{2x( 4x - 2)}{4x - 2}$

Factor the common terms, we have;

2x

2. $\frac{1}{x-1} - \frac{2}{x} + \frac{1}{x + 1}$

Find the Lowest common multiple

$\frac{x(x+ 1) - 2 (x+ 1)(x - 1) + x(x-1)}{x(x-1)(x+ 1)}$

expand the brackets

$\frac{x^2 + x -2(x^2 -x + x -1) + x^2 -x}{x(x-1)(x+ 1)}$

$\frac{x^2+x - 2x^2 -2 + 2x + 2 + x^2 - x}{x(x+1) (x -1)}$

collect like terms

$\frac{2x}{x(x+ 1) (x-1)}$

Divide common terms

$\frac{2}{(x+ 1)(x - 1)}$

Thus, the expressions are simplified to 2x and $\frac{2}{(x+ 1)(x - 1)}$

Learn more about algebraic expressions here:

brainly.com/question/4344214

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