SOLUTION: Write an expression for the sum of the squares of three consecutive integers. (Use x for the smallest integer.)

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Write an expression for the sum of the squares of three consecutive integers. (Use x for the smallest integer.)       Log On


   

Question 814784: Write an expression for the sum of the squares of three consecutive integers. (Use x for the smallest integer.)
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
z = x + 2
y = x + 1
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xx + yy + zz
xx + (x + 1)(x + 1) + (x + 2)(x + 2)
xx + (xx + 2x + 1) + (xx + 4x + 4)
xx + xx + 2x + 1 + xx + 4x + 4
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Answer:
sum of squares is = 3x^2 + 6x + 5
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