Question

Factorise 4x2 - 12xy +9y?​

Answer 1

Step-by-step explanation:

4x

2

+12xy+9y

2

=(2x)

2

+2(2x)(3y)+(3y)

2

=(2x+3y)

2

Answer 2

➲CORRECT QUESTION :

• Factorise : $\bf{4x^ 2 - 12xy +9y^2}$

☯GIVEN :

• $\bf{4x^ 2 - 12xy +9y^2}$

☯TO FIND :

• Factorised Form.

☯FORMULA REQUIRED :

• $\bigstar \underline{ \boxed{ \red{\bf{ a^2 - 2ab + b^2 = (a - b) (a - b) }}}}$

➲SOLUTION :

$\implies\sf{4x^ 2 - 12xy +9y^2}$

$\implies\sf{ (2x)^2 - 2 \times 2x \times 3y+(3y) ^2 }$

• Here, a = 2x and b = 3y

$\implies\sf{{(2x- 3y)}^{2}}$

$\implies\underline{\boxed{\pink{\bf{(2x- 3y)(2x- 3y)}}}}$

▪ Some important identities :

• $\bigstar \underline{ \boxed{ \red{\bf{ {(a - b)}^{2} = a^2 - 2ab + b^2 }}}}$

• $\bigstar \underline{ \boxed{ \red{\bf{ {(a +b)}^{2} = a^2 + 2ab + b^2 }}}}$

• $\bigstar \underline{ \boxed{ \red{\bf{ {(a +b)}^{0} = 1 }}}}$

• $\bigstar \underline{ \boxed{ \red{\bf{ {(a +b)}^{1} = a +b }}}}$