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If (1-y)(1+2x+4x^2+8x^3+16x^4+32x^5)=(1-...

If `(1-y)(1+2x+4x^2+8x^3+16x^4+32x^5)=(1-y^6)` then `y/x`=

A

`1//2`

B

2

C

`1//4`

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If (1 - k) (1 + 2x + 4x^(2) + 8x^(3) + 16x^(4) + 32x^(5)) = 1 - k^(6) , where k ne 1 then the value of (k)/(x) is

    A
    2
    B
    4
    C
    `1//2`
    D
    `1//4`

  • The HCF of 8x^(4) - 16x^(3) - 40x^(2) + 48x and 16x^(5) + 64x^(4) + 80x^(3) + 32x^(2) is

    A
    `4x(x+2)`
    B
    `8x(x+2)`
    C
    `2x(x-2)`
    D
    `8x(x-2)`

  • The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))

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    BADC
    B
    BDAC
    C
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    D
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