passpadi

2012

Mathematics

JAMB

Simplify (√6+2)2 −(√6−2)2

A.

2√6

B.

4√6

C.

8√6

D.

16√6

Correct Answer: 8√6

Explanation

√6+2)2 −(√6−2)2 = [(√6+2)+(√6 − 2)][(√6 + 2) − (√6 − 2)] = (√6 + 2 + √6 − 2)(√6 + 2− √6 + 2)] = (2√6)(4) = 8√6

√6+2)2 −(√6−2)2 = [(√6+2)+(√6 − 2)][(√6 + 2) − (√6 − 2)] = (√6 + 2 + √6 − 2)(√6 + 2− √6 + 2)] = (2√6)(4) = 8√6
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