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OpenStudy (anonymous):
Find the product of (3x − 7y)^2
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OpenStudy (anonymous):
Use the formula : \[(a-b)^{2} = a ^{2} - 2ab + b ^{2} \]
by substituting a = 3x
b = 7y.
Can you do that? :-]
OpenStudy (anonymous):
9x2 − 49y2?
OpenStudy (anonymous):
@Jas9420
OpenStudy (anonymous):
Hi!
(3x+7y) (3x-7y)
Difference of squares = a^2 - b^2 = (a+b) (a-b)
(3x)^2 - (7y)^2
9x^2 - 49y^2
(3x-7y)^2
Perfect squares
(a-b)^2= a^2 -2ab + b^2
(3x)^2 -2(3x)(7y) + (7y)^2
9x^2 - 42 xy + 49y^2
(x+5)^2
Perfect squares property
(a+b)^2 = a^2 + 2ab + b^2
(x)^2 + 2(x)(5) + (5)^2
x^2 + 10 x + 25
Hope this helps!
OpenStudy (anonymous):
No @allie_bear22
You get \[(3x)^{2} - 2\times3x \times 7y + (7y)^{2}\]
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OpenStudy (anonymous):
@blackprincesssen so was i right? 9x2 + 49y2
OpenStudy (anonymous):
Can you simplify it now?
OpenStudy (anonymous):
@Jas9420 i know i did the rest my self and wanted to know if my answer was right
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
Ah, yes. But you did do the whole thing, right?
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OpenStudy (anonymous):
i hope i help if i did
OpenStudy (anonymous):
yea u did
OpenStudy (anonymous):
tnx u guys
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