Verify:  x3 + y3 = (x + y)(x2 - xy + y2) from Mathematics
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    Polynomials

    Multiple Choice QuestionsShort Answer Type

    201. Factorise each of the following:
    8a3 - b3 - 12a2b + 6ab2
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    202. Factorise each of the following:
     27 - 125a3 - 135a + 225a2
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    203. Factorise each of the following:
    64a3 - 27b3 - 144a2* + 108ab2
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    204.

    Factorise each of the following:

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    205. Verify:  x3 + y3 = (x + y)(x2 - xy + y2)

    We know that
    (x + y)3 = x3 + y3 + 3xy(x + y)
    | Using Identity VI
    ⇒ x3 + y3 = (x + y)3 - 3xy(x + y)
    ⇒ x3 + y3 = (x + y){(x + y)2 - 3xy)
    ⇒ x3 + y3 = (x + y)(x2 + 2xy + y2 - 3xy)
    | Using Identity I
    ⇒ x3 + y3 = (x + y)(x2 - xy + y2)

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    206. Verify:  x3 - y3 = (x - y)(x2 + xy + y2).
    350 Views
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    207. Factorise each of the following: 27y3 + 125z3 
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    208. Factorise each of the following: 64m3 - 343n3.
    675 Views
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    209. Factorise: 27x3 + y3 + z3 - 9xyz.
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    210. Verify that x3 + y3 + z3 - 3xyz = 1 half (x + y + z)[(x - y)2 + (y - z)2 + (z - x)2].
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