Question 1039130
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Factor each of the following


<pre>
1.) {{{x^2+14x+49}}} = {{{(x+7)^2}}}.    <--- Apply the formula {{{a^2 + 2ab + b^2}}} = {{{(a+b)^2}}}.

2.) {{{x^2+30x+225}}} = {{{(x+15)^2}}}   <--- the same formula

3.) {{{y^2-20y+100}}} = {{{(y-10)^2}}}   <--- Apply the formula {{{a^2 - 2ab + b^2}}} = {{{(a-b)^2}}}.

4.) {{{9a^2-6ab+b^2}}} = {{{(3a-b)^2}}}   <--- the same formula
</pre>

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


<pre>
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
</pre>

Regarding these formulas 


{{{a^2 + 2ab + b^2}}} = {{{(a+b)^2}}}, 


{{{a^2 + 2ab + b^2}}} = {{{(a-b)^2}}}.


see the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The_square_of_a_sum.lesson>The square of the sum formula</A> 

&nbsp;&nbsp;&nbsp;&nbsp;-<A HREF=https://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The_square_of_a_difference.lesson>The square of the difference formula</A>

in this site.


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