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19 May, 05:36

Which of the following is the factored for of the expression below 4x^2+12x+9

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  1. 19 May, 09:29
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    Step-by-step explanation:

    to solve this problem, multiply the a and the c. In this problem, a is 4 and c is 9

    4 (9) = 36

    what two numbers multiply to get 36 and then add up to get b which is 12.

    6 (6)

    write the new value in the equation as b

    4x^2 + 6x + 6x + 9

    Now that you have four numbers, split the equations

    (4x^2 + 6x) + (6x + 9)

    take out the common factors

    2x (2x + 3) + 3 (2x + 3)

    (2x + 3) (2x + 3)

    Since the solutions are the same

    we write it as

    (2x + 3) ^2
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