factorise the following 14x^3+21x^4y-28x^2y^2​

Question

factorise the following 14x^3+21x^4y-28x^2y^2​

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Ayla 4 weeks 2021-11-03T20:12:26+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-03T20:13:51+00:00

    Answer:

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    0
    2021-11-03T20:13:58+00:00

    Step-by-step explanation:

    Step by Step Solution:

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    STEP

    1

    :

    Equation at the end of step 1

    ((14•(x3))+((21•(x4))•y))-((22•7×2)•y2)

    STEP

    2

    :

    Equation at the end of step

    2

    :

    ((14 • (x3)) + ((3•7×4) • y)) – (22•7x2y2)

    STEP

    3

    :

    Equation at the end of step

    3

    :

    ((2•7×3) + (3•7x4y)) – (22•7x2y2)

    STEP

    4

    :

    STEP

    5

    :

    Pulling out like terms

    5.1 Pull out like factors :

    21x4y + 14×3 – 28x2y2 = 7×2 • (3x2y + 2x – 4y2)

    Trying to factor a multi variable polynomial :

    5.2 Factoring 3x2y + 2x – 4y2

    Try to factor this multi-variable trinomial using trial and error

    Factorization fails

    Final result :

    7×2 • (3x2y + 2x – 4y2)

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