Question

Using identities evaluate 49×51

Answer 1

Answer:

(50-1)(50+1)

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Answer 2

$\bf\red{QuestioN:-}$

Using identities evaluate 49×51

$\bf\blue{AnsweR:-}$

49 × 51 is the question.

$\orange:\longrightarrow\mathtt{49\times51}$

$\orange:\longrightarrow\mathtt{(50-1)\times(50+1)}$

Using identity,

(a + b ) ( a - b) = a^2 - b^2

Here,

       $\purple\pmb{a=50}$

       $\purple\pmb{b=1}$

On applying identity,

$\green:\implies\pmb{49\times51}$

$\green:\implies\pmb{(50-1)\times(50+1)}$

$\green:\implies\pmb{50^2-1^2}$

$\green:\implies\pmb{2500-1}$

$\Large\green:\implies\pmb{2499}$

2499 is the answer for this question.

All Done!!☺