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

Question

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

Answers

#(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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