Factorise each of the following: 64m3 - 343n3. from Mathemati
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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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    Answer
    204.

    Factorise each of the following:

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    205. Verify:  x3 + y3 = (x + y)(x2 - xy + y2)
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    206. Verify:  x3 - y3 = (x - y)(x2 + xy + y2).
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    207. Factorise each of the following: 27y3 + 125z3 
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    208. Factorise each of the following: 64m3 - 343n3.

    64m3 - 343n3
    64m3 - 343n3 = (4m)3 - (7n)3
    = (4m - 7n){(4m)2 + (4m)(7n) + (7n)2}
    = (4m - 7n)(16m2 + 28mn + 49n2).

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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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