totally clueless

cheergrl3

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Jan 5, 2006
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How do I do this?!!! I have to factor these somehow with a difference of squares??!!
4(x + y)^2 - (2y -z)^2 and then i have others i dont no how to do!!

a^2 + 4a + 4 - b^2

can i have step by step instrutions on how to do these if someone knows how??!!

this assignment is due tommorow so i need help now!!!!!
 
cheergrl3 said:
How do I do this?!!! I have to factor these somehow with a difference of squares??!!
If you're supposed to apply the difference-of-squares formula, then you should probably start by trying to find a difference-of-squares pattern. For instance:

. . . . .9r<sup>2</sup> - 25(s + t)<sup>2</sup>

. . . . . . .= [3r]<sup>2</sup> - [5(s + t)]<sup>2</sup>

. . . . . . .= ([3r] - [5(s + t)])([3r] + [5(s + t)])

. . . . . . .= (3r - 5s - 5t)(3r + 5s + 5t)

=========================

1) 4(x + y)<sup>2</sup> - (2y - z)<sup>2</sup>

This already is in the difference-of-squares pattern. Apply the rule, m<sup>2</sup> - n<sup>2</sup> = (m - n)(m + n), with m = 2(x + y) and n = (2y - z).

and then i have others i dont no how to do!!

2) a<sup>2</sup> + 4a + 4 - b<sup>2</sup>

Hint: Look for a perfect square in the first three terms. Form that square. You'll then have a difference of squares, to which you can apply the formula.

Eliz.
 
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