Question

1) (x-2)³

2) (y-3)³

3) (2x-5)³

Answer 1

`1)`

`(x-2)^3= x^3 - 3.x^2 .2 + 3.x.2^2 - 2^3`

`= x^3 - 6x^2 + 12x -8`

`2)`

`(y-3)^3= y^3 - 3.y^2 . 3 + 3.y.3^2 - 3^3`

`= y^3 - 9y^2 + 27y - 27`

`3)`

`(2x-5)^3= (2x)^3 - 3.2x^2 . 5 + 3.2x.5^2 + 5^3`

`= 8x^3 - 12x + 150x + 125`

Answer 2

\(1,\left(x-2\right)^3=x^3-3.x^2.2+3.x.2^2-2^3\\ =x^3-6x^2+12x-8\\ 2,\left(y-3\right)^3=y^3-3.y^2.3+3y.9-27\\ =y^3-9y^2+27y-27\\ 3,\left(2x-5\right)^3=\left(2x\right)^3-3.4x^2.5+3.2x.25-125\\ =8x^3-60x^2+375x-125\)

Answer 3

(1) \(\left(x-2\right)^3=x^3-3x^22+3x2^2-2^3=x^3-6x^2+12x-8\)

(2) \(\left(y-3\right)^3=y^3-3y^23+3y3^2-3^3=y^3-9y^2+27y-27\)

(3) \(\left(2x-5\right)^3=\left(2x\right)^3-3\left(2x\right)^25+3\left(2x\right)5^2-5^3=8x^3-60x^2+150x-125\)

Answer 4

1.\(\left(x-2\right)^3=x^3-3x^22+3x2^2-2^3=x^3-6x^2+\)\(12x-8.\)

2.\(\left(y-3\right)^3=y^3-3y^23+3y3^2-3^3=y^3-9x^2+\) \(27y-27.\)

3.\(\left(2x-5\right)^3=\left(2x\right)^3-3.\left(2x\right)^25+3.2x.5^2-5^3\) \(=8x^3-24x^2+150x-125.\)

Answer 5

1) ( x+2)^(x-4)+(x-2)³+16

2) 4x(x-2)+x³-2x+(x+1)³

3) (x+1)³ -(x-2)²-1

Answer 6

1) (y-2)³-(y-3)^(y²+3y+9)+6^(y+1)² =49

2) (y+3)³ - (y+1)³ =56

Answer 7

\(\left(x-2\right)^3=x^3-3.x^2.2+3.x.2^2-2^3\)

              \(=x^3-6x^2+12x-8\)

\(\left(y-3\right)^3=y^3-3.y^2.3+3.y.3^2-3^3\)

              \(=y^3-9y^2+27y-27\)

\(\left(2x-5\right)^3=\left(2x\right)^3-3.\left(2x\right)^2.5+3.2x.5^2-5^3\)

                \(=8x^3-60x^2+150x-125\)