ACT Math : How to find the square of a sum

Example Questions

Example Question #1 : How To Find The Square Of A Sum

Evaluate the following expression:

Explanation:

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 #5 : Squaring / Square Roots / Radicals

Expand:

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.

Example Question #6 : Squaring / Square Roots / Radicals

Which of the following is the square of  ?

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

Example Question #121 : Exponents

Which of the following is the square of  ?

You may assume both  and  are positive.

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

or

Example Question #8 : Squaring / Square Roots / Radicals

Which of the following is the square of  ?

Explanation:

Multiply vertically as follows:

Example Question #9 : Squaring / Square Roots / Radicals

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.

Explanation:

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 #10 : Squaring / Square Roots / Radicals

Which of the following is the square of  ?

Explanation:

Use the square of a sum pattern, substituting  for  and  for  in the pattern:

Example Question #11 : Squaring / Square Roots / Radicals

Which of the following is the square of  ?