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Question
Find the following product: (3x + 5) (3x + 11)
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Solution
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\].
\[\left( 3x + 5 \right)\left( 3x + 11 \right)\]
\[ = \left( 3x \right)^2 + \left( 5 + 11 \right)\left( 3x \right) + 5 \times 11\]
\[ = 9 x^2 + 48x + 55\]
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