Question

Determine the value of the following using expansion a square + b square and a + b whole square when a minus b is equal to 2 and ab is equal to 63

Answer 1

Answer:

130 and 256

Step-by-step explanation:

a^2+b^2 =?

(a+b)^2 =?

a-b=2 & ab=63

From a-b=2, a=b+2

ab=63 => b*(b+2)=63 => b=7 or -9

then a= 9 or -7

So a^2+b^2=7^2+9^2=49+81=130

(a+b)^2= (7+9)^2=16^2=256