# math

posted by .

Write an expression for the sum of the squares of two consecutive integers. (Use x for the integer.)
1

Simplify that expression.
2

• math -

Sum=n^2+(n+1)^2 which can be simplified.

• math -

how do you simplify? thank you bobpursley

• math -

expand (n+1)^2, then add the first n^2

## Similar Questions

1. ### math, algebra

2a+2ab+2b I need a lot of help in this one. it says find two consecutive positive integers such that the sum of their square is 85. how would i do this one i have no clue i know what are positive integers.but i don't know how to figure …
2. ### algebra1

two consecutive integers such that the sum of 3 times the frist integer and 6 times second integer is 24. Expalin the variables that you used. If I could get help in solving this ASAP, I wiould really appreicate it?
3. ### Algebra

Find two consecutive positive integers such that the sum of the square is 85..(show your work) If X is the first integer, then X+1 is the next; therefore, the sum of those squares will be 85. X^2 + (X+1)^2 = 85 Solve for X, then add …
4. ### Algebra

The sum of two consecutive even integers is 118. A. Define a variable for the smaller integer. B. What must you add to an even integer to get the next greater even integer?
5. ### Algebra

The sum of two consecutive odd integers is 56. A. Define a variable for the smaller integer. B. What must you add to an odd integer to get the next greater odd integer?
6. ### math

there are three consecutive positive integers such that the sum of the squares of the smallest two is 221. write and equation to find the three consecutive positive integers let x= the smallest integer
7. ### math

What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?
8. ### math

What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?
9. ### math

What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?