Question

if a-b =7 and ab= 18 then acube -b cube =​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$a^{3}$-$b^{3}$=721

Step-by-step explanation:

We know that

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

And a-b=7 and ab=18

Now, (a-b)^2=7^2

a^2-2ab+b^2=49

a^2+b^2=49+2(18)=49+36

a^2+b^2=85

Again, $a^{3}$-$b^{3}$= (a-b)(a^2+ab+b^2)

= (7) . (85+18)

= 7 . 103

$a^{3}$-$b^{3}$= 721

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