Question

the value of 8p3+7p2 is

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Answer 1

Step-by-step explanation:

8p³+7p²

=(8+7)(p³×p²)

13p^5

is your Answer

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Answer 2

$\displaystyle \sf{ {}^{8}P_3 + {}^{7}P_2 }= 378$

Given :

$\displaystyle \sf{ {}^{8}P_3 + {}^{7}P_2 }$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ {}^{8}P_3 + {}^{7}P_2 }$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ {}^{8}P_3 + {}^{7}P_2 }$

$\displaystyle \sf{ = \frac{8!}{(8 - 3)!} + \frac{7!}{(7 - 2)!} }$

$\displaystyle \sf{ = \frac{8!}{5!} + \frac{7!}{5!} }$

$\displaystyle \sf{ = \frac{8 \times 7 \times 6 \times 5!}{5!} + \frac{7 \times 6 \times 5!}{5!} }$

$\displaystyle \sf{ = 336 + 42 }$

$\displaystyle \sf{ = 378}$

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