Question

3) Find cube of 99 using formula { (a-b)"}​

Answer 1

Answer:

see the attachment

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

${99}^{3} \\ = {(100 - 1)}^{3} \\ = {100}^{3} - 3 \times {100}^{2} \times (- 1 )+ 3\times 100 \times {1}^{2} - ({ - 1})^{3} \\ = 1000000 - 3 \times 10000 \times (- 1) + 300 - ( - 1) \\ = 1000000 + 30000 + 300 - ( - 1) \\ = 1030300 + 1 \\= 1030301$

Extra information

used formula:-

${\boxed{{a-b}^{3}={a}^{3}-3 {a}^{2}b+3a {b}^{2}-{b}^{3}}}$