Using the values of $a = 2, b = 3$ simplify the following expressions:
$(a) a + b$
$(b) 5 a^{2} - 2 a b$
$(c) a - b$
$(d) a^{2} + a b$

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Solution

Given a = 2, b = 3.
(a) a+b = 2+3 = 5
(b) $5 a^{2} - 2 a b = a (5 a - 2 b)$
= 2(5(2)-2(3))
= 2(10-6)
= 2(4)
= 8.
(c) a-b = 2-3 = -1
(d) $a^{2} + a b = a (a + b)$
= 2(2+3)
= 2(5)
= 10

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