Question

expand (3x+2y) ²using suitable identity​

Answer 1

Answer:

Question :-

Expand (3x+2y) ²using suitable identity

Identity used :-

${(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

Required Answer :-

$= {9x}^{2} + 12xy + {4y}^{2}$

Solution :-

$(3x+2y) ²$

$= {(3x)}^{2} + 2 \times 3x \times 2y + {(2y)}^{2}$

$= {9x}^{2} + 12xy + {4y}^{2}$

Answer 2

Answer:

9x^2 + 4y^2 + 12xy

Step-by-step explanation:

Using the identity (A+B) ^2 = (A^2 + B^2 + 2×A×B) :

(3x+2y) ^2 = (3x) ^2 + (2y) ^2 + 2× (3x) × (2y)

= 3×3X^2 + 2×2× y^2 + 2×3×2×y× X

= 9x^2 + 4y^2 + 12xy