which expression is equivalent to $2x^{2}-2x + 7$?\n$(4x + 12)+(2x^{2}-6x + 5)$\n$(x^{2}-5x + 13)+(x^{2}+3x…

which expression is equivalent to $2x^{2}-2x + 7$?\n$(4x + 12)+(2x^{2}-6x + 5)$\n$(x^{2}-5x + 13)+(x^{2}+3x - 6)$\n$(4x^{2}-6x + 11)+(2x^{2}-4x + 4)$\n$(5x^{2}-8x + 120)+(-3x^{2}+10x - 13)$

which expression is equivalent to $2x^{2}-2x + 7$?\n$(4x + 12)+(2x^{2}-6x + 5)$\n$(x^{2}-5x + 13)+(x^{2}+3x - 6)$\n$(4x^{2}-6x + 11)+(2x^{2}-4x + 4)$\n$(5x^{2}-8x + 120)+(-3x^{2}+10x - 13)$

Answer

Explanation:

Step1: Combine like - terms for each option

Option 1:

$(4x + 12)+(2x^{2}-6x + 5)=2x^{2}+(4x-6x)+(12 + 5)=2x^{2}-2x+17$

Option 2:

$(x^{2}-5x + 13)+(x^{2}+3x-6)=(x^{2}+x^{2})+(-5x + 3x)+(13-6)=2x^{2}-2x + 7$

Option 3:

$(4x^{2}-6x + 11)+(2x^{2}-4x + 4)=(4x^{2}+2x^{2})+(-6x-4x)+(11 + 4)=6x^{2}-10x+15$

Option 4:

$(5x^{2}-8x + 120)+(-3x^{2}+10x-13)=(5x^{2}-3x^{2})+(-8x + 10x)+(120-13)=2x^{2}+2x+107$

Answer:

$(x^{2}-5x + 13)+(x^{2}+3x-6)$