134k views
3 votes
How to solve this-
(2y-1)^2-4(2y-1) +4




1 Answer

4 votes
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1

(((2y - 1)2) - 4 • (2y - 1)) + 4
STEP
2
:

Trying to factor by splitting the middle term

2.1 Factoring 4y2-12y+9

The first term is, 4y2 its coefficient is 4 .
The middle term is, -12y its coefficient is -12 .
The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36

Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .

-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it
User Iamzozo
by
3.2k points