Question

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

Answer 1

(4x+5)(-3x-1)=
-12x²-19x-5
So, you answers would be:
A. (-16x²+10x-3) + (4x²-29x-2)
D. (2x²-11x-9) - (14x²+8x-4)
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Answer 2

Answer:

A. C. And D. Are same

Step-by-step explanation:

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

Applying distributive law

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

Again applying distributive law in both the brackets

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

Adding the terms having same power of x

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

1. $-16x^2+10x-3+(4x^2-29x-2 )$

Simplifying the terms containing the same power of x

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

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

Hence it is true

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

   $3x-15-12x^2-18x-10$

  $-12x^2-15x-25$

  False

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

   $2x-2-12x^2-21x-3$

  $-12x^2-19x-5$

True

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

   $2x^2-11x-9-14x^2-8x+4$

  $-12x^2-19x-5$

True

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

$-12x^2+19x-15$

False

6. $4x^2-13x-7-(16x^2+9x-5)$

   $4x^2-13x-7-16x^2-9x+5$

  $-12x^2-22x-2$

False