#160; #160;a2 #160; #160;12ab #160;+ #160;36b2 #160; #160;25= #160;a2 #160; #160;2 #215;a #215;6b #160;+ #160;6b2 #160; # ...

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Polynomials

a2-12 a b+36 ...

Question

a² $-$ 12ab + 36b² $-$ 25

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Solution

$a^{2} - 12 a b + 36 b^{2} - 25 = a^{2} - 2 \times a \times 6 b + {(6 b)}^{2} - 25 = {(a - 6 b)}^{2} - 5^{2} = (a - 6 b + 5) (a - 6 b - 5)$

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a^{2} - 12 a b + 36 b^{2} - 25

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a^{2} - 5 a b - 36 b^{2}

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