Question

I have been very stuck on this one algebra problem,any help please?

Answer 1

`{\Large \begin{array}{llll} 10a^3-4b^2 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ 10(-2)^3-4(6)^2\implies 10(-2)(-2)(-2)-4(6)(6)\implies 10(-8)-4(36) \\\\\\ -80 -144\implies -224 \\\\[-0.35em] ~\dotfill\\\\ 10(3)^3-4(-2)^2\implies 10(3)(3)(3)-4(-2)(-2)\implies 10(27)-4(4) \\\\\\ 270-16\implies 254 \\\\[-0.35em] ~\dotfill\\\\ 10(-5)^3-4(12)^2\implies 10(-5)(-5)(-5)-4(12)(12)\implies 10(-125)-4(144) \\\\\\ -1250-576\implies -1826`