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-10\left(z^{2}+14z+49\right)-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(z+7\right)^{2}.
-10z^{2}-140z-490-2
Use the distributive property to multiply -10 by z^{2}+14z+49.
-10z^{2}-140z-492
Subtract 2 from -490 to get -492.
-10\left(z^{2}+14z+49\right)-2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(z+7\right)^{2}.
-10z^{2}-140z-490-2
Use the distributive property to multiply -10 by z^{2}+14z+49.
-10z^{2}-140z-492
Subtract 2 from -490 to get -492.