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  • 27-07-2021
  • Mathematics
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B. If p +q= 3 and pq - 4. find the value of p³+q³​

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Аноним Аноним
  • 27-07-2021

Answer:

p³ + q³ is -9

Step-by-step explanation:

[tex]{ \tt{ {(p + q)}^{3} = ( {p}^{2} + {q}^{2} + 2pq)(p + q) }} \\ { \tt{ {(p + q)}^{3} = ( {p}^{3} } + 3p {q}^{2} + 3 {p}^{2} q)} \\ { \tt{ {p}^{3} + {q}^{3} = {(p + q)}^{3} - 3pq(p + q)}} \\ { \tt{ {p}^{3} + {q}^{3} = {(3)}^{3} - 3(4)(3) }} \\ = - 9[/tex]

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