How do you factor the expression 49x^2 - 14x + 1?

1 Answer
Shwetank Mauria
Mar 6, 2016

(7x-1)(7x-1)

Explanation:

To factorize the expression 49x^2−14x+1, we have to split the coefficient of middle term (here -14) into two parts whose product is equal to product of coefficient of x^2 and independent term (here 49xx1=49).

It is apparent that such parts could be -7 and -7. Hence, 49x^2−14x+1

= 49x^2−7x−7x+1

= 7x(7x-1)-1(7x-1) or (7x-1)(7x-1)

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