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Which of the following expression is equivalent to 6x2−13x−28

I. 6x2+8x−21x−28
II. 2x(3x+4)+7x(3x−4)
III. 2x(3x+4)−7(3x+4)
IV. (3x+4)(2x−7)

IV only
IV only

I, III, and IV
I, III, and IV

I, II, and IV
I, II, and IV

I and IV only
I and IV only

User GWorking
by
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1 Answer

3 votes

Answer:

I, III and IV

Explanation:

Required

Determine equivalent expressions to
6x^2 - 13x - 28

To do this, we simplify each of the given options.


I.\ 6x2+8x-21x-28

Simplify like terms


6x2+8x-21x-28


= 6x2-13x-28

This is equivalent to the given expression


II.\ 2x(3x + 4) + 7x(3x - 4)

Open Bracket


2x(3x + 4) + 7x(3x - 4)


2x*3x + 2x*4 + 7x*3x - 7x*4


6x^2 + 8x - 21x^2 - 28x

Collect Like Terms


6x^2 - 21x^2 + 8x - 28x


-15x^2 - 20x

This is not equivalent to the given expression


III.\ 2x(3x+4)-7(3x+4)

Open Bracket


2x(3x+4)-7(3x+4)


2x*3x + 2x*4 - 7*3x - 7*4


6x^2 + 8x - 21x - 28

Simplify Like Terms


6x^2 -13x - 28

This is equivalent to the given expression


IV.\ (3x + 4)(2x-7)

Open Brackets


3x * 2x - 3x * 7 + 4*2x-4*7


6x^2 - 21x+ 8x-21

Simplify like terms


6x^2 -13x-21

This is equivalent to the given expression

Hence: I, III and IV are equivalent to the given expression

User Mmfrgmpds
by
8.6k points

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