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Multiplying / Dividing Rationals (Level 1)
Score:
1//5
Penalty: none
Question
Perform the following operation and express in simplest form.

(x^(2)+8x-9)/(x-1)*(4x^(2))/(x^(2)+x-72)
Answer Attempt 1 out of 3

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Multiplying / Dividing Rationals (Level $1$ ) $\newline$ Score: $1 / 5$ $\newline$ Penalty: none $\newline$ Question $\newline$ Perform the following operation and express in simplest form. $\newline$ $\frac{x^{2}+8 x-9}{x-1} \cdot \frac{4 x^{2}}{x^{2}+x-72}$ $\newline$ Answer Attempt $1$ out of $3$ $\newline$ $\square$ $\newline$ Submit Answer $\newline$ Copyright @ $2024$ DeltaMath.com All Rights Reserved. Privacy Policy | Terms of Service

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Power rule with rational exponents

Full solution

Q. Multiplying / Dividing Rationals (Level

1

)

\newline

Score:

1 / 5

\newline

Penalty: none

\newline

Question

\newline

Perform the following operation and express in simplest form.

\newline

\frac{x^{2}+8 x-9}{x-1} \cdot \frac{4 x^{2}}{x^{2}+x-72}

\newline

Answer Attempt

1

out of

3

\newline

\square

\newline

Submit Answer

\newline

Copyright @

2024

DeltaMath.com All Rights Reserved. Privacy Policy | Terms of Service

Factor Numerator and Denominator: Factor the numerator $x^2 + 8x - 9$ and the denominator $x^2 + x - 72$ . $\newline$ $x^2 + 8x - 9$ factors to $(x + 9)(x - 1)$ . $\newline$ $x^2 + x - 72$ factors to $(x + 9)(x - 8)$ .
Cancel Common Factors: Now the expression looks like this: $\frac{(x + 9)(x - 1)}{x - 1} \times \frac{4x^2}{(x + 9)(x - 8)}$ . Cancel out the common factors $(x - 1)$ and $(x + 9)$ .
Simplify Expression: After canceling, the expression is $1 \times \frac{4x^2}{x - 8}$ . Simplify it to $\frac{4x^2}{x - 8}$ .
Check for Further Simplifications: Check for any more common factors or simplifications. There are no more common factors, and the expression is already in simplest form.

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