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Tanzania [10]
3 years ago
13

B. If p +q= 3 and pq - 4. find the value of p³+q³​

Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
7 0

Answer:

p + q = 3 = = 3

p q − 4 = = 3

p 3 + q 3 = = 3

Step-by-step explanation:

Use the given functions to set up and simplify p 3 + q 3 .

STatiana [176]3 years ago
7 0

Answer:

<u>p³</u><u> </u><u>+</u><u> </u><u>q³</u><u> </u><u>is</u><u> </u><u>-</u><u>9</u>

Step-by-step explanation:

{ \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

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