Math, asked by ItsCrazyDaRk02, 10 months ago

find the value of a³+8b³ if a + 2b =10 and ab=15​

Answers

Answered by akanshakathait
12

a³+8b³=(a+2b)³-3*2ab(a+2b)

=10³-6*15(10)

=1000-900

=100

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Answered by MʏSᴛᴇʀɪᴏSᴛᴀʀᴋ
14

Answer:

Given: a+2b=10 and ab=15

Consider, a³+8b³ = a³ + (2b³)

=(a + 2b)³ - 3 * a * 2b(a + 2b) {SInce, a³ + b³ =(a + b )- 3ab(a + b)}

=(a + 2b)³ - 6ab(a + 2ab)

=(10)³- 6 * 15 * 10

=1000- 900 =100

Step-by-step explanation:

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