SOLUTION: if a squared minus b squared is equal to 8 and a minus b is equal to 2 ,find the value of (a+b)squared
Algebra
->
Quadratic Equations and Parabolas
->
Quadratic Equations Lessons
->
Quadratic Equation Lesson
-> SOLUTION: if a squared minus b squared is equal to 8 and a minus b is equal to 2 ,find the value of (a+b)squared
Log On
Quadratics: solvers
Quadratics
Practice!
Practice
Answers archive
Answers
Lessons
Lessons
Word Problems
Word
In Depth
In
Click here to see ALL problems on Quadratic Equations
Question 982254
:
if a squared minus b squared is equal to 8 and a minus b is equal to 2 ,find the value of (a+b)squared
Answer by
rothauserc(4718)
(
Show Source
):
You can
put this solution on YOUR website!
(a^2 - b^2) = 8
factor polynomial
(a+b) * (a - b) = 8
we know (a - b) = 2, therefore
(a + b) * 2 = 8
divide both sides of = by 2
(a + b) = 4
and
(a + b)^2 = 16