SOLUTION: If (a+b)^2=64 and (a−b)^2=4, what is the value of ab?

SOLUTION: If (a+b)^2=64 and (a−b)^2=4, what is the value of ab?

Algebra.Com

Question 973241: If (a+b)^2=64 and (a−b)^2=4, what is the value of ab?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a^2+2ab+b^2=64
a^2-2ab+b^2=4
Multiply the second equation by (-1)
-a^2+2ab-b^2= -4;; now add the two.
4ab=60
ab=15
5 and 3 are the coefficients.

RELATED QUESTIONS
if log(AB)=4 and log(A/B)=-2,what is the value of... (answered by josgarithmetic,MathTherapy)

If a+b=6, ab=7, what is the value of... (answered by mananth)

If a+b=6, ab=7, what is the value of {{{a^2b+ab^2}}}? (answered by Fombitz)

if the greatest value of ab(c^2) is 1/64. find a,b,c (numerical... (answered by fcabanski)

a=3 and b=-1,what is the value of ab-b... (answered by MathLover1)

If a does not equal to b, and {{{((a(1-b))/(b(1-a)))^(2)=1}}}, what is the value of... (answered by Shin123)

If ab=96 and a^2+b^2=208, find the numerical value of... (answered by Fombitz)

If a+b=x and a-b=y, find the value of a) a^2 - b^2 b)... (answered by duckness73,ikleyn)

If a and b are any two whole numbers, the operation ^ is defined by a ^ b = ab... What... (answered by stanbon)