Simplify; 2 - 18m²/1 + 3m

Correct Answer is : 2(1−3m)2(1 - 3m)2(1−3m)

Correct Answer is : 2(1−3m)2(1 - 3m)2(1−3m)

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WAEC Mathematics 2018 Paper

Question : 11

Total: 50

Simplify;

\frac{2 - 18m^2}{1 + 3m}

Solution:

Concept:

Factorise the numerator using the difference of two squares, then cancel the common factor.

Explanation:

Write the numerator as

2 - 18m^2 = 2(1 - 9m^2)

Now factorise

1 - 9m^2

using

a^2 - b^2 = (a - b)(a + b)

So,

2(1 - 9m^2) = 2(1 - 3m)(1 + 3m)

The expression becomes

\frac{2(1 - 3m)(1 + 3m)}{1 + 3m}

Cancel the common factor

(1 + 3m)

Therefore, the simplified result is

2(1 - 3m)

Answer:

2(1 - 3m)

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