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valentina_108 [34]
3 years ago
8

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

Mathematics
2 answers:
katrin2010 [14]3 years ago
4 0
The answers are: D and C and A and E
because: 


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

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

E </span>(-15x2 + 9x - 10) + (3x2 - 10x - 5)=<span><span>−<span>12<span>x^2</span></span></span>−x</span>−<span>15</span>
loris [4]3 years ago
3 0

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.

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