Question

If a-b= 1, a²+b² = 13 find ab

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Answer 1

Answer:

a = 3

b = 2

ab = 3 x 2 = 6

Step-by-step explanation:

3 - 2 = 1

(3 x 3) + (2 x 2) = 9 + 4 = 13

Answer 2

$\huge\fcolorbox{red}{cyan}{ab\:=\:6}$

Step-by-step explanation:

$a-b=1 \\ =>\bf{squaring\:both\:sides} \\ =>(a-b)²=1² \\ =>a²+b²-2ab = 1 \\ => 13 - 2ab = 1 \:\:\:\:\:(a²+b²=13) \\ => -2ab = 1- 13 \\ =>-2ab = -12 \\ =>ab = \frac{-12}{-2} \\ => \boxed{ab=6}$

Hope it helped