if p=-2 find the value -2p³-3p²+4p+7
-2 ( -2 ) ^3 -3 (-2) ^2 + 4(-2) +7⇒ -2 ( -2 ) -3 (2) -8 +7 = 4 -6 -8 +7 = -3 :))
Things to do:
1. Firstly, write down the given expression.
2. Put the values in place.
3. Simplify accordingly.
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1. GIVEN EXPRESSION
\(-2p^{3} -3p^{2}+4p+7\)
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2. PUTTING THE VALUES IN PLACE
Values : (\(p=-2\))
So,
\([-2*(-2)]^{3}+[-3*(-2)]^{2}+[4*(-2)]+7\)
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3. SIMPLIFICATION PROCESS
\([-2*(-2)]^{3}+[-3*(-2)]^{2}+[4*(-2)+7]\)
= \((4)^{3}+(6)^{2}+(-8)+7\)
= \((4*4*4)+(6*6)-8+7\)
= \(64+36-8+7\)
= \(64+36+7-8\)
= \((64+36+7)-8\)
= \((100+7)-8\)
= \((107)-8\)
= \(107-8\)
= \(99\)
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So, after completing all the steps, we can conclude that the value of \(-2p^{3} -3p^{2}+4p+7\) is 99.
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