Factorise: from Mathematics Polynomials
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    Polynomials

    Multiple Choice QuestionsShort Answer Type

    211.  If x + y + z = 0, show that x3 + y3 + Z3 = 3xyz.
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    Answer
    212. Without actually calculating the cubes, find the value of each of the following:
     (- 12)3 + (7)3 + (5)3
    155 Views
    Answer
    213. Without actually calculating the cubes, find the value of each of the following:
    (28)3 + (- 15)3 + (- 13)3
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    214. Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

    box enclose bold space bold Area bold space bold colon bold space bold 25 bold a to the power of bold 2 bold minus bold 35 bold a bold plus bold 12 end enclose
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    215. Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given:

    box enclose bold Area bold space bold colon bold space bold 35 bold y to the power of bold 2 bold plus bold 13 bold y bold minus bold 12 end enclose
    307 Views
    Answer
    216.

    What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

    box enclose bold Volume bold space bold colon bold space bold 3 bold x to the power of bold 2 bold minus bold 12 bold x end enclose

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    Answer
    217.

    What are the possible expressions for the dimensions of the cuboids whose volumes are given below?

    box enclose bold Volume bold space bold colon bold space bold 12 bold ky to the power of bold 2 bold plus bold 8 bold ky bold minus bold 20 bold k end enclose

    164 Views
    Answer
    218. Evaluate 105 × 106 without direct multiplying.
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    219. Factorise:

    49a2 + 70ab + 25b2 
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    220. Factorise:

    25 over 4 x squared minus y cubed over 9.

    Solution not provided.

    Ans.  open parentheses 5 over 2 straight x plus straight y over 3 close parentheses open parentheses 5 over 2 straight x minus straight y over 3 close parentheses

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