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13 February, 13:39

What is the product of (-4x2-5x-1) (4x2-6x-2)

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  1. 13 February, 13:56
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    (-4x2-5x-1) (4x2-6x-2)

    Final result:

    -2 • (13x + 1) • (2x2 - 3x - 1)

    Reformatting the input:

    Changes made to your input should not affect the solution:

    (1) : "x2" was replaced by "x^2".

    Step by step solution:

    Step 1:

    Equation at the end of step 1:

    (-13x - 1) • ((22x2 - 6x) - 2)

    Step 2:

    Pulling out like terms:

    3.1 Pull out like factors:

    -13x - 1 = - 1 • (13x + 1)

    Step 3:

    Pulling out like terms:

    4.1 Pull out like factors:

    (4x2 - 6x - 2) = 2 • (2x2 - 3x - 1)

    Trying to factor by splitting the middle term

    4.2 Factoring 2x2 - 3x - 1

    The first term is, 2x2 its coefficient is 2.

    The middle term is, - 3x its coefficient is - 3.

    The last term, "the constant", is - 1

    Step-1 : Multiply the coefficient of the first term by the constant 2 • - 1 = - 2

    Step-2 : Find two factors of - 2 whose sum equals the coefficient of the middle term, which is - 3.

    -2 + 1 = - 1

    -1 + 2 = 1

    Observation : No two such factors can be found!

    Conclusion : Trinomial can not be factored

    Step 4:

    Pulling out like terms:

    5.1 Pull out like factors:

    -26x - 2 = - 2 • (13x + 1)

    Final result:

    -2 • (13x + 1) • (2x2 - 3x - 1)
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