Consider the expressions show below, please help me!

(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5

(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5

(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7

Step-by-step explanation:

✔️(3x² - 6x + 11) - (10x² - 4x + 6)

Open the bracket by applying the distributive property

3x² - 6x + 11 - 10x² + 4x - 6

Add like terms

-7x² - 2x + 5

Therefore:

(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5

✔️(-3x² - 5x - 3) - (-10x² - 7x + 2)

Apply distributive property

-3x² - 5x - 3 + 10x² + 7x - 2

Add like terms

7x² + 2x - 5

Therefore:

(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5

✔️(12x² + 6x - 5) - (5x² + 8x - 12)

12x² + 6x - 5 - 5x² - 8x + 12

Add like terms

7x² - 2x + 7

Therefore:

(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7

50x5=$250

step-by-step explanation:

, 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