What is the standard form of (x+5)(x+5)

x² + 10x + 25

Step-by-step explanation:

Given

(x + 5)(x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 5) + 5(x + 5) ← distribute both parenthesis

= x² + 5x + 5x + 25 ← collect like terms

= x² + 10x + 25 ← in standard form

no solution

step-by-step explanation:

there is not enough information in the problem to solve.

, 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