McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
1. Solving Quadratic Equations by Factoring
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Exercise 65 Page 175

Area of the remaining figure can be found by subtracting the area of the smaller square from the area of the larger square.

Expression: x^2-36
Factorized Form: (x-6)(x+6)

Practice makes perfect

A square is cut out of the figure given below.

Area of the remaining figure can be found by subtracting the area of the smaller square from the area of the larger square.

A_R=A_L-A_S Area of a square can be found by squaring its side length. A_R=x^2-6^2 ⇔ A_R=x^2-36 The expression we wrote is the difference of the squares. Therefore, it can be factorized as shown below. A_R=(x-6)(x+6)