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Mathematics

Grade10

Easy

Question

What do we get after factoring 49x²- 28xy + .4y²?

(7x +2y)²
(49x - 4y)²
(7x - 2y)²
(7x - 28y)²

The correct answer is: (7x - 2y)²

We know that a²-2ab+.b² = (a-b)²
49x²- 28xy +.4y² can also be written as (7x)²- 2(7) (2)xy + (2y)²
Here, a = 7x and b = 2y.
Therefore, 49x²- 28xy +.4y² = (7x)²- 2(7)(2)xy + (2y)²
= (7x - 2y)².

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