Question

evaluate 95×96 using suitable identity​

Answer 1

Answer:

95×96=(90+5)(90+6)

=90²+(5+6)90+5×6

=8100+990+30

=9120

Using identity,(x+a)(x+b)=x²+(a+b)x+a×b

Answer 2

9120

$\bold{solution}$

95 × 96

$\begin{array}{c}\phantom{\times99}95\\\underline{\times\phantom{99}96}\\\end{array}$

$\begin{array}{c}\phantom{\times99}95\\\underline{\times\phantom{99}96}\\\phantom{\times9}570\\\end{array}$

$\begin{array}{c}\phantom{\times99}95\\\underline{\times\phantom{99}96}\\\phantom{\times9}570\\\underline{\phantom{\times}855\phantom{9}}\\\end{array}$

$\begin{array}{c}\phantom{\times99}95\\\underline{\times\phantom{99}96}\\\phantom{\times9}570\\\underline{\phantom{\times}855\phantom{9}}\\\phantom{\times}9120\end{array}$

$\blue{factor}$

$2^{5}\times 3\times 5\times 19$