SOLUTION: Factor each of the following 1.) x^2+14x+49 2.) x^2+30x+225 3.) y^2-20y+100 4.) 9a^2-6ab+b^2 5.) 4x^2-20xy+25y^2 6.) 49b^2+42b+9 7.) 4x^2-2x+0.25 8.) x^2+2x/3+1/9 9.) 9x

Algebra ->  Finance -> SOLUTION: Factor each of the following 1.) x^2+14x+49 2.) x^2+30x+225 3.) y^2-20y+100 4.) 9a^2-6ab+b^2 5.) 4x^2-20xy+25y^2 6.) 49b^2+42b+9 7.) 4x^2-2x+0.25 8.) x^2+2x/3+1/9 9.) 9x      Log On


   

Question 1039130: Factor each of the following
1.) x^2+14x+49
2.) x^2+30x+225
3.) y^2-20y+100
4.) 9a^2-6ab+b^2
5.) 4x^2-20xy+25y^2
6.) 49b^2+42b+9
7.) 4x^2-2x+0.25
8.) x^2+2x/3+1/9
9.) 9x^2-4x+4/8
10.) p^2+0.4p+0.04
11.) 16x^2-24xy+9y^2
12.) 4a^2-20ab^2+25b^4
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
Factor each of the following 

1.) x%5E2%2B14x%2B49 = %28x%2B7%29%5E2.    <--- Apply the formula a%5E2+%2B+2ab+%2B+b%5E2 = %28a%2Bb%29%5E2.

2.) x%5E2%2B30x%2B225 = %28x%2B15%29%5E2   <--- the same formula

3.) y%5E2-20y%2B100 = %28y-10%29%5E2   <--- Apply the formula a%5E2+-+2ab+%2B+b%5E2 = %28a-b%29%5E2.

4.) 9a%5E2-6ab%2Bb%5E2 = %283a-b%29%5E2   <--- the same formula

Do the rest yourself. Use the same formulas / the same pattern. 

5.) 4x^2-20xy+25y^2

6.) 49b^2+42b+9

7.) 4x^2-2x+0.25

8.) x^2+2x/3+1/9

9.) 9x^2-4x+4/8

10.) p^2+0.4p+0.04

11.) 16x^2-24xy+9y^2

12.) 4a^2-20ab^2+25b^4

Regarding these formulas

a%5E2+%2B+2ab+%2B+b%5E2 = %28a%2Bb%29%5E2,

a%5E2+%2B+2ab+%2B+b%5E2 = %28a-b%29%5E2.

see the lessons
    - The square of the sum formula
    -The square of the difference formula
in this site.

You MUST memorize them - they are the basic formulas in this part of the Math.