Question

(2x +3y ) ^2 - 5 (2x + 3y) -14

Answer 1

(2x + 3y)^2-5 (2x +3y) - 14
4x^2 + 9y^2 +12xy - 10x - 15y - 14
Now arrange the values:
4x^2 - 10 x + 9y^2 - 15y +12xy -14

Answer 2

• (2x +3y ) ^2 - 5 (2x + 3y) -14
• expand -5(2x+3y) , it will be ,  -10x-15y

• (2x +3y ) ^2 - 10x - 15y - 14

• now expand (2x+3y)^2 , it will be , 4x^2 + 12xy + 9y^2

                                               [∵ (a + b)^2 = a^2 +2ab + b^2]

• 4x^2 + 12xy + 9y^2 - 10x - 15y - 14

    ∴ 4x^2 + 12xy + 9y^2 - 10x - 15y - 14 is the answer to the question