## Related questions with answers

Question

Suppose you are using algebra tiles to represent each expression below. How many unit tiles would you need to add to build a perfect square? a. $x^{2}+10 x$ b. $x^{2}-6 x$ c. $x^{2}+22 x$

Solution

VerifiedStep 1

1 of 2You build a perfect square if the expression is of the form $x^2\pm 2ax+a^2$:

a. Note that $a=5$ and thus $a^2=25$ is the number of unit tiles.

b. Note that $a=3$ and thus $a^2=9$ is the number of unit tiles.

c. Note that $a=11$ and thus $a^2=11^2=121$ is the number of unit tiles.

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