Simplify the expression 3x(x – 12x) + 3×2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that ap

Question

Simplify the expression 3x(x – 12x) + 3×2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply. The term –2(x – 2)2 is simplified by first squaring the expression x – 2. The simplified product is a binomial. After multiplying, the like terms are combined by adding and subtracting. The parentheses are eliminated through multiplication. The final simplified product is –28×2 +8x – 8.

in progress 0
Kylie 2 weeks 2021-09-11T23:44:00+00:00 1 Answer 0

Answers ( )

    0
    2021-09-11T23:45:42+00:00

    1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

    TRUE

    2. The simplified product is a binomial. TRUE

    3. After multiplying, the like terms are combined by adding and subtracting.

    TRUE

    4. The parentheses are eliminated through multiplication.  TRUE

    5. The final simplified product is  -28x^2 + 8x - 8 FALSE

    Step-by-step explanation:

    Here, the given expression is :

    F(x)  = 3x(x- 12x) + 3x^2-2(x-2)^2

    Now, let us first solve the given expression step wise:

    F(x)  = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x)  = -32x^2 +8x - 8

    Now, here the given statements are:

    1. The term -2(x-2)^2 is simplified by first squaring the expression (x – 2).

    TRUE

    2. The simplified product is a binomial. TRUE

    3. After multiplying, the like terms are combined by adding and subtracting.

    TRUE

    4. The parentheses are eliminated through multiplication.  TRUE

    5. The final simplified product is  -28x^2 + 8x - 8 FALSE

    As the simplified expression is: (-32x^2 +8x -8)

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )