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Question
Factorise the expression and divide them as directed:
(3x2 – 48) ÷ (x – 4)
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Solution
We have,
`(3x^2 - 48) ÷ (x - 4) = (3x^2 - 48)/(x - 4)`
= `(3(x^2 - 16))/(x - 4)`
= `(3(x^2 - 4^2))/(x - 4)`
= `(3(x + 4)(x - 4))/(x - 4)` ...[∵ a2 – b2 = (a + b)(a – b)]
= 3(x + 4)
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