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Question
Show that: (9a − 5b)2 + 180ab = (9a + 5b)2
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Solution
\[\text { LHS } = \left( 9a - 5b \right)^2 + 180ab\]
\[ = \left( 9a - 5b \right)^2 + 4 \times 9a \times 5b\]
\[ = \left( 9a + 5b \right)^2 \left[ \because \left( a - b \right)^2 + 4ab = \left( a + b \right)^2 \right]\]
= RHS
Because LHS is equal to RHS, the given equation is verified.
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