A2 #160; 5ab #160; #160;36b2=a2 #160;+ #160;4ab #160; #160;9ab #160; 36b2 #160; #160; #160; #160; #160; #160; #160; #8757; # ...

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Addition of Polynomials

a2-5 a b-36 b...

Question

a² $-$ 5ab $-$ 36b²

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Solution

$a^{2} - 5 a b - 36 b^{2} = a^{2} + 4 a b - 9 a b - 36 b^{2} [∵ 1 \times (- 36) = - 36, 4 \times (- 9) = - 36 and 4 + (- 9) = - 5] = a (a + 4 b) - 9 b (a + 4 b) = (a + 4 b) (a - 9 b)$

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