Question

8. If a - b=2, ab = 11.25, then what is the
value of a^2– b^2?
the answer is 14 but how pls solve my question ​

Answer 1

Step-by-step explanation:

a2-b2=(a+b)(a-b). ....(1)

(a-b)^2=a2+b2-2ab

4=a2+b2-22.5

26.5=a2+b2

a+b)2=a2+b2+2ab

a+b)^2=22.5+22.5

a+b=√50=5√2

now from 1

a2-b2=2×5√2

a2-b2=10√2=14.14

rounding off we get 14

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