Question

Factorise the expression $9x^2+24xy+16y^2$

• A. $(3x+2y{)}^2$
• B. $(3x-2y{)}^2$
• C. $(2x+3y{)}^2$
• D. $(2x-3y{)}^2$

Answer 1

The correct option is A $(3x+2y{)}^2$

The given expression is $9x^2+24xy+16y^2$

$(3x{)}^2+2(3x\left)\right(4y)+(4y{)}^2$
= $(3x+4y{)}^2$
[Using identity $(a+b{)}^{=}{a}^2+b^2+2ab$]
= $(3x+4y{)}^2$