Simplify each rational expression. You will need to use factoring by grouping.\frac{x^2-2x+ax-2a}{x^2-2x+3ax-6a}

boitshupoO

boitshupoO

Answered question

2021-09-15

Simplify each rational expression. You will need to use factoring by grouping.
x22x+ax2ax22x+3ax6a

Answer & Explanation

crocolylec

crocolylec

Skilled2021-09-16Added 100 answers

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A rational expression is simply a quotient of two polynomials.
The given expression is x22x+ax2ax22x+3ax6a. Simplify the given expression by taking out the common terms and then grouping the common terms as follows:
x22x+ax2ax22x+3ax6a=(x(x2)+a(x2))(x(x2)+3a(x2)) - Take the common terms out
=(x+a)(x2)(x+3a)(x2) - Group the terms
=(x+a)(x+3a) - Cancel the common terms in the numerator and the denomianator.
=x+ax+3a

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