The factors of 4y^2 - 12y + 9 is:

MCQ

The factors of $4y^2 - 12y + 9$ is:

A
$(2y + 3)^2$
✓
$(2y - 3)^2$
C
$(2y - 3) (2y + 3)$
D
None of the above.

✓

Answer

Correct option: B.

$(2y - 3)^2$

B. $(2y - 3)^2$
Solution:
$=4 y^2-12 y+9 $
$ =4 y^2=(2 y)^2 \& 9=3^2 \& 12 y=2.3 .2 y $
$ =4 y^2-12 y+9=(2 y)^2-2 \times 3 \times(2 y)+(3)^2 $
$ =(2 y-3)^2 \text { By algebraic identities: }(a-b)^2=a^2+b^2-2 a b$

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