Answer:
3x^2 - 4x + 16
Step-by-step explanation:
5x^2 + 6x + 7 - (2x^2 + 2x + 9)
Answer:
[tex]=3x^2+4x-2[/tex]
Step-by-step explanation:
[tex]5x^2+6x+7-\left(2x^2+2x+9\right)\\-\left(2x^2+2x+9\right):\quad -2x^2-2x-9\\-\left(2x^2+2x+9\right)\\\mathrm{Distribute\:parentheses}\\=-\left(2x^2\right)-\left(2x\right)-\left(9\right)\\\mathrm{Apply\:minus-plus\:rules}\\+\left(-a\right)=-a\\=-2x^2-2x-9\\=5x^2+6x+7-2x^2-2x-9\\\mathrm{Simplify}\:5x^2+6x+7-2x^2-2x-9:\quad 3x^2+4x-2\\5x^2+6x+7-2x^2-2x-9\geq \\\mathrm{Group\:like\:terms}\\[/tex]
[tex]=5x^2-2x^2+6x-2x+7-9\\\mathrm{Add\:similar\:elements:}\:5x^2-2x^2=3x^2\\=3x^2+6x-2x+7-9\\\mathrm{Add\:similar\:elements:}\:6x-2x=4x\\=3x^2+4x+7-9\\\mathrm{Add/Subtract\:the\:numbers:}\:7-9=-2\\=3x^2+4x-2[/tex]
