Question

can you do it for me as soon as possible ​

Answer 1

Answer:

The answer is 68

Step-by-step explanation:

a + b = 10

a^ + b ^ = 58

= a cube + b cube is 68

Answer 2

$\Large{\underline{\bf{Given:}}}$

☞ a+b = 10 and a²+b² = 58

$\Large{\underline{\bf{To\;Find:}}}$

☞ The Value of a³+b³ = ?

$\huge{\underline{\underline{\sf{Solution:}}}}$

Given, a+b = 10

As, $\boxed{\sf{(a+b)² = a²+b²+2ab}}$

$→\;{\sf{10² = 58+2ab}}$

$→\;{\sf{100 = 58+2ab}}$

$→\;{\sf{2ab = 100-58}}$

$→\;{\sf{2ab = 42}}$

$→\;{\sf{ab = \frac{42}{2}}}$

$➝\;{\bf{.:. \:ab = 21}}$

W.K.T

$\boxed{\sf{(a+b)³ = a³+b³+3ab(a+b)}}$

$→\;{\sf{10³ = a³+b³+[3×21(10)]}}$

$→\;{\sf{1000 = a³+b³+630}}$

$→\;{\sf{1000-630 = a³+b³}}$

$➝\;{\bf{a³+b³ = 370}}$

$\huge{\green{\underline{\mathfrak{AnSweR:}}}}$

✒️Value of a³+b³ ◕➜ $\Large{\red{\mathfrak{370}}}$

Hope It Helps You ✌️