Simplify the following expression completely. (x^(2)+5x-50)/(x^(2)+6x-40) Answer:

Factorize Numerator and Denominator: Factor the numerator and the denominator. The numerator is x^2 + 5x - 50, which factors into (x + 10)(x - 5). The denominator is x^2 + 6x - 40, which factors into (x + 10)(x - 4).Cancel Common Factors: Cancel out the common factors. The common factor in both the numerator and the denominator is (x + 10). So, we cancel (x + 10) from both the numerator and the denominator.Write Simplified Expression: Write down the simplified expression. After canceling out the common factor, the simplified expression is (x - 5)/(x - 4).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify the following expression completely.

(x^(2)+5x-50)/(x^(2)+6x-40)
Answer:

Simplify the following expression completely. $\newline$ $\frac{x^{2}+5 x-50}{x^{2}+6 x-40}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. Simplify the following expression completely.

\newline

\frac{x^{2}+5 x-50}{x^{2}+6 x-40}

\newline

Answer:

Factorize Numerator and Denominator: Factor the numerator and the denominator. $\newline$ The numerator is $x^2 + 5x - 50$ , which factors into $(x + 10)(x - 5)$ . $\newline$ The denominator is $x^2 + 6x - 40$ , which factors into $(x + 10)(x - 4)$ .
Cancel Common Factors: Cancel out the common factors. $\newline$ The common factor in both the numerator and the denominator is $(x + 10)$ . $\newline$ So, we cancel $(x + 10)$ from both the numerator and the denominator.
Write Simplified Expression: Write down the simplified expression. $\newline$ After canceling out the common factor, the simplified expression is $(x - 5)/(x - 4)$ .