question_answer 1)

(a) If \[z=10,\]find the value of \[{{z}^{3}}-3(z-10)\]. (b) If \[p=-10,\]find the value of \[{{p}^{2}}-2p-100.\]

Answer:

                (a) \[{{z}^{3}}-3(z-10)={{z}^{3}}-3z+10\]                 \[{{(=10)}^{3}}-3(10)+10\]                 \[=1000-30+10\]                 \[=1000+10-30\]                 \[=1010-30=980\] (b) \[{{p}^{2}}-2p-100={{(-10)}^{2}}-2(-10)-100\] \[=100+20-100\] \[=120-100=20\]