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Polynomials

Use suitable ...

Question

Use suitable identities----

1. (x+2)(x-3)

2. (2x+1)^3

3. (2x-3y)^3

4. (x+2y+3z)^2

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Solution

1. (x+2)(x-3)
(x^2 - 3x+2x-6)
(x^2 - x+6)
2. (2x+1)^3
8x^3+1+32x1(2x+1)
8x^3+1+6x(2x+1)
8x^3+1+12x^2+6x
3. (2x-3y)^3
8x^3-27y^3-32x3y(2x-3y)
8x^3-27y^3-18xy(2x-3y)
8x^3-27y^3-36x^2y+54xy^2
4. (x+2y+3z)^2
x^2+4y^2+9z^2+2x2y+22y3z+23zx
x^2+4y^2+9z^2+4xy+12yz+6zx

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