Answer:
Her mistakes are;
She added unlike terms [tex]6x^{3}[/tex] and [tex]-3x^{2}[/tex] and gave the answer [tex]3x^{3}[/tex]
She added -10 and 8 and gave the answer -3
Step-by-step explanation:
let us try to find her mistake
We have two algebric expressions to add them
→ [tex]6x^{3}+4x-10[/tex]
→ [tex]-3x^{2}+2x+8[/tex]
We must add the like terms
The like terms are:
→ 4x and 2x, -10 and 8
→ [tex]4x+2x=6x[/tex]
→ [tex]-10+8=-2[/tex]
So Let us add the expression to find her mistakes
[tex](6x^{3}+4x-10)+(-3x^{2}+2x+8)=6x^{3}-3x^{2}+6x-2[/tex]
The correct answer is: [tex]6x^{3}-3x^{2}+6x-2[/tex]
By comparing our answer with her answer her mistakes are:
- She added unlike terms [tex]6x^{3}[/tex] and [tex]-3x^{2}[/tex] and gave the answer [tex]3x^{3}[/tex]
- She added -10 and 8 and gave answer -3
