Question

Select all the expressions that are equivalent to the polynomial below.

Answer 1

The answers are: D and C and A and E
because: 


B 3(x - 5) - 2(6x2 + 9x + 5)=−12x^2−15x−25

F (4x2 - 13x - 7) - (16x2 + 9x - 5)=−12x2−22x−2

E (-15x2 + 9x - 10) + (3x2 - 10x - 5)=−12x^2−x−15

Answer 2

Answer:

(A), (C) and (D)

Step-by-step explanation:

The given expression is:

$(4x+5)(-3x-1)$

which can be simplified as:

=$-12x^2-15x-4x-5$

=$-12x^2-19x-5$

which is the required simplified expression.

(A) The expression is:

$(-16x^2+10x-3)+(4x^2-29x-2)$

=$-16x^2+10x-3+4x^2-29x-2$

=$-12x^2-19x-5$

which is equivalent to the given expression, thus this option is correct.

(B) The expression is:

$3(x-5)-2(6x^2+9x+5)$

=$3x-15-12x^2-18x-10$

=$-12x^2-15x-25$

which is not equivalent to the given expression, thus this option is incorrect.

(C) The expression is:

$2(x-1)-3(4x^2+7x+1)$

=$2x-2-12x^2-21x-3$

=$-12x^2-19x-5$

which is equivalent to the given expression, thus this option is correct.

(D) The expression is:

$(2x^2-11x-9)-(14x^2+8x-4)$

=$2x^2-11x-9-14x^2-8x+4$

=$-12x^2-19x-5$

which is equivalent to the given expression, thus this option is correct.

(E) The expression is:

$(-15x^2+9x-10)+(3x^2-10x-5)$

=$-15x^2+9x-10+3x^2-10x-5$

=$-12x^2-x-15$

which is not equivalent to the given expression, thus this option is incorrect

(F) The expression is:

$(4x^2-13x-7)-(16x^2+9x-5)$

=$4x^2-13x-7-16x^2-9x+5$

=$-12x^2-22x-2$

which is not equivalent to the given expression, thus this option is incorrect.