(ii) If a + b = 8, ab = 15, find a3 + b3.
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The value of "a³+b³" will be "152". Further explanation is given below.
Step-by-step explanation:
Given:
(a+b) = 8
ab = 15
As we know,
(a+b)³ = a³+b³+3ab(a+b)
On putting the value of (a+b) and ab in the above formula, we get
⇒ (8³) = a³+b³+3×15(8)
⇒ 8×8×8 = a³+b³+3×120
⇒ 512 = a³+b³+360
⇒ 512-360 = a³+b³
⇒ 152 = a³+b³
⇒ a³+b³ = 152
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