Factor completely 2 7y2 4 2 7y 12SolutionGiven 27y2 427y

Factor completely (2 + 7_y)^2 + 4 (2 + 7_y) -12

Solution

Given (2+7y)² + 4(2+7y) -12

Need to factor the given exprssion.

(2+7y)² + 4(2+7y) -12

Let 2+7y = X

Now, (X)² + 4(X) -12

X² + 4X - 12

X² + 6X - 2X - 12

X(X+6) - 2(X+6)

(X+6)(X-2)

But, X = 2+7y

(2+7y+6)(2+7y-2)

(7y+8)(7y)

7y(7y+8)

Therefore, factorization of given expression is 7y(7y+8)