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

I, III and IV

Step-by-step explanation:

Required

Determine equivalent expressions to

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

Simplify like terms

This is equivalent to the given expression

Open Bracket

Collect Like Terms

This is not equivalent to the given expression

Open Bracket

Simplify Like Terms

This is equivalent to the given expression

Open Brackets

Simplify like terms

This is equivalent to the given expression

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

- 70

this is the answer for you hope it

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for