ACT Math : How to find the square of difference

Study concepts, example questions & explanations for ACT Math

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Example Questions

Example Question #1 : How To Find The Square Of Difference

SimplifyActmath_6_110_q4 

Possible Answers:

Correct answer:

Explanation:

Factor the numerator and denominator separately and then cancel similar terms.

x2 – 25 = (x + 5)(x – 5)  Difference of two squares

x2 + 11x + 30 = (x + 5)(x + 6)

The (x+5) terms cancel out, leaving us with a final answer of:

Example Question #2 : Squaring / Square Roots / Radicals

can be rewritten as:

Possible Answers:

Correct answer:

Explanation:

Use the formula for solving the square of a difference, . In this case, 

Example Question #3 : Squaring / Square Roots / Radicals

Expand:

Possible Answers:

Correct answer:

Explanation:

To multiply a difference squared, square the first term and add two times the multiplication of the two terms. Then add the second term squared.

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