Question 10

Simplify the expression and find its value when a = 5 and b = - 3.
$2 (a^{2} + a b) + 3 - a b$

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Solution

Given: $2 (a^{2} + a b) + 3 - a b$
$\Rightarrow 2 a^{2} + 2 a b + 3 - a b \Rightarrow 2 a^{2} + 2 a b - a b + 3$
$\Rightarrow 2 a^{2} + a b + 3$
$\Rightarrow 2 (5)^{2} + (5) (- 3) + 3$
$\Rightarrow 2 \times 25 - 15 + 3$
$\Rightarrow 50 - 15 + 3$
$\Rightarrow 38$

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