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The expressions 2x-3,\ \ 3x+2y ,\ \ x y ...

The expressions `2x-3,\ \ 3x+2y ,\ \ x y z-5\ ` etc. are all binomials. Note that `3x+7x` is not a binomial, because `3x+7x=10 x ,` which is a monomial.

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Expressions having two terms are known as binomials. Therefore, `2x-3,\ \ 3x+2y ,\ \ x y z-5\ ` etc. are all binomials.
But `3x+7x` on addition becomes `10x` which is a monomial.
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Knowledge Check

  • The sum of 4x - 3y - 7z, x -y -z and - 2x- 3y+ 4z is

    A
    `3x - 7y - 4z`
    B
    `3x - y + 4z`
    C
    `3x + y - 4z`
    D
    `3x + y + 4z`

  • The system x+4y -2z = 3x + y + 5z = 7 and 2x + 3y + z = 5 has

    A
    infinite number of solutions
    B
    unique solution
    C
    trivial solution
    D
    no solution

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