(2x2+6x+1)+(3x2+3x+9)=5x2+9x+10

Question

True or False?

Answer 1

Let's simplify the left-hand side of the equation step by step:

1. Combine the terms from the first expression $(2x^2+6x+1)$ and the second expression $(3x^2+3x+9)$:

$$2x^2+6x+1+3x^2+3x+9$$

2. Combine like terms:

• For the $x^2$ terms: $2x^2+3x^2=5x^2$
• For the $x$ terms: $6x+3x=9x$
• For the constant terms: $1+9=10$

Putting it all together, we have:

$$5x^2+9x+10$$

Now, we compare this result with the right-hand side of the equation $5x^2+9x+10$.

Both sides are indeed equal:

$$(2x^2+6x+1)+(3x^2+3x+9)=5x^2+9x+10$$

Therefore, the statement is True.