Question

Me. Erickson did the following problem. She noticed she made a big mistake! What mistake did Ms. Erickson make while solving the problem?
(6x^3+4x-10)+(-3x^2+2x+8)=3x^3+6x-3

Answer 1

Answer:

Her mistakes are;

She added unlike terms $6x^{3}$ and $-3x^{2}$ and gave the answer $3x^{3}$

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

→ $6x^{3}+4x-10$

→ $-3x^{2}+2x+8$

We must add the like terms

The like terms are:

→ 4x and 2x, -10 and 8

→ $4x+2x=6x$

→ $-10+8=-2$

So Let us add the expression to find her mistakes

$(6x^{3}+4x-10)+(-3x^{2}+2x+8)=6x^{3}-3x^{2}+6x-2$

The correct answer is: $6x^{3}-3x^{2}+6x-2$

By comparing our answer with her answer her mistakes are:

1. She added unlike terms $6x^{3}$ and $-3x^{2}$ and gave the answer $3x^{3}$
2. She added -10 and 8 and gave answer -3