Question

2. If a + b = 10 and ab = 21, find the value of a³+b³​

Answer 1

${x}^{3} + {y}^{3} + 3xy(x + y) = {(x + y)}^{3} \\ {x}^{3} + y {}^{3} = {(x + y)}^{3} - 3xy(x + y) \\ = {10}^{3} - 3 \times 21 \times 10 \\ = 1000 -630 \\ = 370 \\ \\ \\ {x}^{3} + {y}^{3} = 370$

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Answer 2

Your answer is 370.

See the attachment for explanation.

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