Math, asked by abhaidgoel06, 11 months ago

1.7*1.7*1.7-0.9*0.9*0.9/1.7*1.7+1.7*0.9+0.9*0.9

Answers

Answered by nileshwalgunje1400
2

How are you But I don't know you questions not answer sorry

Answered by shailendrachoubay216
5

\frac{1.7^{3}-0.9^{3}}{1.7^{2}+1.7\times 0.9+0.9^{2}}=0.8.

Step-by-step explanation:

1. From identity

   a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})      ...1)

2. Then from equation 1)

1.7\times 1.7\times 1.7-0.9\times 0.9\times 0.9=1.7^{3}-0.9^{3}=(1.7-0.9)(1.7^{2}+1.7\times 0.9+0.9^{2})       ...2)

3. From question

\frac{1.7^{3}-0.9^{3}}{1.7^{2}+1.7\times 0.9+0.9^{2}}=\frac{(1.7-0.9)(1.7^{2}+1.7\times 0.9+0.9^{2})}{(1.7^{2}+1.7\times 0.9+0.9^{2})}    ...3)  

4. equation 3) which can written as after cancel out common term in numerator and denominator.

\frac{1.7^{3}-0.9^{3}}{1.7^{2}+1.7\times 0.9+0.9^{2}}=(1.7-0.9)=0.8

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