Question

If (a - b)2 = 4 and ab = 3 , what is the value of (a? + b2 )?​

Answer 1

$\huge \color {aqua} \boxed{ \colorbox{black} { \sf{answer}}}$

☆(a²+b²)= -2

$\huge \color {violet} \boxed{ \colorbox{black} { \sf{to \: find}}}$

☆The value of (a²+b²)

$\huge \color {aqua} \boxed{ \colorbox{black} { \sf{given}}}$

☆(a-b)²=4 and ab=3

$\huge \color {pink} \boxed{ \colorbox{black} { \sf{formula}}}$

☆ (a²+b² )= (a+b)²-2ab

$\huge \color {aqua} \boxed{ \colorbox{black} { \sf{solution}}}$

☆Putting the values :

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(a²+b²)= 4-2×3

=>(a²+b²) = 4-6

=>(a²+b²) = -2

$\huge \color {violet} \boxed{ \colorbox{black} { \sf{hence}}}$

☆ (a²+b²)= -2

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Extra information:

• a²+b²=(a+b)²-2ab
• a²-b²=(a-b)²+2ab or (a+b)(a-b)
• (a+b)²=a²+b²+2ab
• (a-b)² = a²+b²- 2ab

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hope it helps...