How to find the square of a sum - ACT Math

Card 0 of 8

Question

Evaluate the following expression:

Answer

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

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Question

Expand:

Answer

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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Question

Which of the following is the square of ?

Answer

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

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Question

Which of the following is the square of ?

You may assume both and are positive.

Answer

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

or

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Question

Which of the following is the square of ?

Answer

Multiply vertically as follows:

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Question

Which of the following is the square of ?

Answer

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

This is not equivalent to any of the given choices.

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Question

Which of the following is the square of ?

Answer

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

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Question

Which of the following is the square of ?

Answer

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

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