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WAEC Mathematics 2019 Paper

Question : 31

Total: 50

Factorize completely; (2x + 2y)(x - y) + (2x - 2y)(x + y)

Solution:

Concept:

Factor each grouped term by taking out common numerical factors, then combine like terms.

Explanation:

Given expression:

(2x + 2y)(x - y) + (2x - 2y)(x + y)

Factor the first group:

2x + 2y = 2(x + y)

So the first term becomes:

2(x + y)(x - y)

Factor the second group:

2x - 2y = 2(x - y)

So the second term becomes:

2(x - y)(x + y)

Now both terms contain the same factors

(x + y)

and

(x - y)

2(x + y)(x - y) + 2(x + y)(x - y)

Add the coefficients:

(2 + 2)(x + y)(x - y) = 4(x - y)(x + y)

Answer:

4(x - y)(x + y)

Hence the correct option is A.

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