Question

evaluate the following using suitable identity 104×96and 99 cube​

Answer 1

$\huge\mathbb{A~N~S~W~E~R}$

$<b>$

(1)

$= 104 \times 96 \\ \\ = (100 + 4) \times (100 - 4) \\ \\ = {(100)}^{2} - {(4)}^{2} \\ \\ = 10000 - 16 \\ \\ = 9984$

(2)

$= {(99)}^{3} \\ \\ = {(100 - 1)}^{3} \\ \\ = {(100)}^{3} - {(1)}^{3} - 3(100)(1)(100 - 1) \\ \\ = 1000000 - 1 - 300(99) \\ \\ = 999999 - 27900 \\ \\ = 970299$

${\huge\color{Red}{Answer~is~9984 }}$

${\huge\color{Red}{Answer~is~970299 }}$

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Answer 2

\huge\mathbb{A~N~S~W~E~R}A N S W E R

(1)

\begin{lgathered}= 104 \times 96 \\ \\ = (100 + 4) \times (100 - 4) \\ \\ = {(100)}^{2} - {(4)}^{2} \\ \\ = 10000 - 16 \\ \\ = 9984\end{lgathered}

=104×96

=(100+4)×(100−4)

=(100)

2

−(4)

2

=10000−16

=9984

(2)

\begin{lgathered}= {(99)}^{3} \\ \\ = {(100 - 1)}^{3} \\ \\ = {(100)}^{3} - {(1)}^{3} - 3(100)(1)(100 - 1) \\ \\ = 1000000 - 1 - 300(99) \\ \\ = 999999 - 27900 \\ \\ = 970299\end{lgathered}

=(99)

3

=(100−1)

3

=(100)

3

−(1)

3

−3(100)(1)(100−1)

=1000000−1−300(99)

=999999−27900

=970299

{\huge\color{Red}{Answer~is~9984 }}Answer is 9984

{\huge\color{Red}{Answer~is~970299 }}Answer is 970299

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