All ACT Math Resources
Example Questions
Example Question #1 : How To Find The Square Of Difference
can be rewritten as:
Use the formula for solving the square of a difference, . In this case,
Example Question #2 : How To Find The Square Of Difference
Expand:
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.
Example Question #3 : How To Find The Square Of Difference
The expression is equivalent to:
First, we need to factor the numerator and denominator separately and cancel out similar terms. We will start with the numerator because it can be factored easily as the difference of two squares.
Now factor the quadratic in the denominator.
Substitute these factorizations back into the original expression.
The terms cancel out, leaving us with the following answer:
Example Question #1 : Squaring / Square Roots / Radicals
Evaluate the following expression:
2 raised to the power of 5 is the same as multiplying 2 by itself 5 times so:
25 = 2x2x2x2x2 = 32
Then, 5x2 must first be multiplied before taking the exponent, yielding 102 = 100.
100 + 32 = 132
Example Question #2 : Squaring / Square Roots / Radicals
Expand:
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.
Example Question #1 : How To Find The Square Of A Sum
Which of the following is the square of ?
Use the square of a sum pattern, substituting for and for in the pattern:
Example Question #2 : Squaring / Square Roots / Radicals
Which of the following is the square of ?
You may assume both and are positive.
Use the square of a sum pattern, substituting for and for in the pattern:
or
Example Question #4 : Squaring / Square Roots / Radicals
Which of the following is the square of ?
Multiply vertically as follows:
Example Question #1 : How To Find The Square Of A Sum
Which of the following is the square of ?
The correct answer is not given among the other responses.
The correct answer is not given among the other responses.
Use the square of a sum pattern, substituting for and for in the pattern:
This is not equivalent to any of the given choices.
Example Question #3 : Squaring / Square Roots / Radicals
Which of the following is the square of ?
Use the square of a sum pattern, substituting for and for in the pattern:
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