Question

Factorise:
1.
4. 4x2-9y​

Answer 1

Question:

Factorise the equation: $(4x^2-9y^2)$

Answer:

$(2x-3y)(2x+3y)$

Explanation:

So over here 4 and 9 are Perfect Squares

⇒$\sqrt{4} =2$

⇒$\sqrt{9}=3$

Now you can factorise easily

⇒$[(2x)^2-(3y)^2]$

So Now it is in the form of $[(a)^2-(b)^2]=(a+b)(a-b)$

⇒$[(2x)^2-(3y)^2]=(2x-3y)(2x+3y)$

Hence the Final answer is $(2x-3y)(2x+3y)$.