Question

if a plus b equal 10 and ab equal 24, then find the value a cube plus b cube​

Answer 1

Given

$\small\underline\bold\blue{<strong>⭐</strong>}$a + b = 10

$\small\underline\bold\blue{<strong>⭐</strong>}$ab = 24

solution

$\small\underline\bold\blue{<strong>⭐</strong>}$a + b = 10

By cubing both sides

⟹. (a + b)³ = 10³

⟹ a³ + b³ + 3ab (a+b) = 1000

⟹ a³ + b³ + 3ab (10) = 1000

⟹ a³ + b³ + 3(24)(10) = 1000

⟹ a³ + b³ + 720 = 1000

⟹ a³ + b³ = 1000 - 720

⟹. $\small\boxed{ a³ + b³ = 280}$

Hope it helps

Answer 2

$\boxed{ \huge{ \fcolorbox{red}{black}{ \pink{Given}}} }$

✳️ a + b = 10

✳️ ab = 24

$\boxed{ \huge{ \fcolorbox{red}{black}{ \pink{Solution}}} }$

✳️ a + b = 10

By cubing both sides

⟹. (a + b)³ = 10³

⟹ a³ + b³ + 3ab (a+b) = 1000

⟹ a³ + b³ + 3ab (10) = 1000

⟹ a³ + b³ + 3(24)(10) = 1000

⟹ a³ + b³ + 720 = 1000

⟹ a³ + b³ = 1000 - 720

⟹ a³ + b³ = 280