How to do perfect Squares

1. By: Jenny, Sandra and Temi Perfect Squares

2. Step 1: What is Squaring?

5. Step 2: Calculating Perfect Squares

9. Calculating Perfect Squares (2x + 5)^2 Substitute 2x and 5 into the formula: = (2x)^2 + 2(2x)(5) + (5)^2 Calculate: = 4x^2 + 20x +25

10. Step 3: How do you Factor?

13. Factoring Back to Perfect Squares Here’s a question for you to factor: 9x^2 – 42x + 49 Now to factor it back: Both terms can be square rooted The square root for 9x^2 is: 3x The square root for 49 is: 7

14. Factoring Back to Perfect Squares Multiply the two square roots, and then double their product, so it should be like this: 3x x 7 x 2 The answer is 42x, which is the second term from our question. Now you know that it can be factored back into a perfect square. All you need to do is use the formula backwards.

15. Factoring Back to Perfect Squares The formula would be like this: For addition: a^2 + 2ab + b^2 = (a + b)^2 For subtraction: a^2 – 2ab + b^2= (a – b)^2 Since our question is 9x^2 – 42x + 49, so all we need to do now is to substitute everything into the formula.

16. AND THE ANSWER IS:

17. (3x – 7)^2