Question

Factorise: 9x² - 1 + 4y2 + 12xy​

Answer 1

Answer:

(a+b

) 2

=(

a 2

+2ab+

b 2

)

a 2

=9

x 2

--> a

=3x

b 2

=4

y 2

--> b=2y and indeed 2ab=12xy

(a+b)2=(a2+2ab+b2)a2=9x2 --> a=3xb2=4y2 --> b=2y

so if you factorize you get(3x+2y

) 2

so if you factorize you get(3x+2y)2