Multiply 9x2 + 25y2 + 15xy + 12x -20y + 16 by 3x - 5y - 4 us
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    Polynomials

    Multiple Choice QuestionsShort Answer Type

    151. Evaluate the following products without multiplying directly:
    95 × 96
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    152. Evaluate the following products without multiplying directly:

    104 × 96.
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    153. Evaluate using suitable identify: (999)3.
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    154.  Multiply 9x2 + 25y2 + 15xy + 12x -20y + 16 by 3x - 5y - 4 using suitable identity.

    (3x - 5y - 4) (9x2 + 25y2 + 15xy + 12x - 20y + 16)
    = {(3x) + (-5y) + (-4)} {(3x)2 + (-5y)2 + (-4)2 - (3x) (-5y) - (-5y) (-4) - (-4) (3x)}
    = (3x)3 + (-5y)3 + (-4)3 - 3 (3x) (-5y) (-4)
    = 27x3 - 125y3 - 64 - 180cy.

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    155.

    15. Factorise:
    a2 + b2 - 2 (ab - ac + bc)

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    156. Factorise: (ax + by)2 + (ay - bx)2
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    157. Find the value of x3 - 8y3 - 36xy - 216 when x = 2y + 6.
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    158.

    Factorise:
    (x - 3y)3 + (3y - 7z + (7z - x)3

    590 Views
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    159. If a + b + c = 7 and ab + be + ca = 20, find the value of a2 + b2 + c2.
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    160. If p = 2 - a, then prove that a3 + 6ap + p3 - 8 = 0.
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