Question

If a+ b =7 & ab=6 find a2-b2

Answer 1

Answer:

the answer of this question is 37

Answer 2

$\huge\red{\tt{Question:-}}$

If a+b and ab=6. Find a²-b².

$\huge\green{\tt{Answer:-}}$

${\tt{\boxed{Given:-}}}$

⠀⠀⠀★ a+b=7

⠀⠀⠀★ ab=6

${\mathcal{\boxed{To~find:-}}}$

⠀⠀⠀★ a²+b²

${\mathcal{\boxed{Identity~Used:-}}}$

⠀⠀(x+y)² = x²+y²+2xy

Here,

⠀⠀⠀★x=a

⠀⠀⠀★y=b

$\huge\purple{\tt{⇝}}$(a+b)²=a²+b²+2ab

$\huge\purple{\tt{⇝}}$(7)²=a²+b²+2×(6)

$\huge\purple{\tt{⇝}}$49=a²+b²+12

$\huge\purple{\tt{⇝}}$49-12=a²+b²

$\huge\purple{\tt{⇝}}$37=a²+b²

$\huge\purple{\tt{⇝}}$a²+b²=37

∴ a²+b²=37

∴ Your Answer=a²+b²= 37