The coefficient of x2 in (2x + y)3 is:
Answer & explanation
Correct answer: option 3
(a + b)3 = a3 + b3 + 3ab(a+b)
(2x + y)3
= (2x)3 + y3 + 3 × 2x × y (2x + y)
= 8x3 + y3 + 12x2y + 6xy2
= Coefficient of x2 = 12y
The coefficient of x2 in (2x + y)3 is:
Correct answer: option 3
(a + b)3 = a3 + b3 + 3ab(a+b)
(2x + y)3
= (2x)3 + y3 + 3 × 2x × y (2x + y)
= 8x3 + y3 + 12x2y + 6xy2
= Coefficient of x2 = 12y