Question

Fill in the blanks (please answer the questions with separately)

1)(2x-3y)³ = _________________

2)(2x+Y-z)²=________________

3)(3a+b)³=__________________

Answer 1

(1)

(a - b)^3 = a^3 - b^3 - 3ab(a - b).

(2x - 3y)^3 = (2x)^3 - (3y)^3 - 3(2x)(3y)(2x - 3y)

= 8x^3 - 27y^3 - 36x^2y + 54xy^2.

(2)

Given (2x + y - z)^2

= > (2x + y - z)(2x + y - z)

= > 4x^2 + 4xy - 4xz + y^2 - 2yz + z^2.

(3)

(a + b)^3 = a^3 + b^3 + 3ab(a + b).

Given : (3a + b)^3

= > (3a)^3 + (b)^3 + 3(3a)(b)(3a + b)

= > 27a^3 + b^3 + 9ab(3a + b)

= > 27a^3 + b^3 + 27a^2b + 9ab^2.

Hope this helps!