Question

Simplify the algebraic expressions by combining Ike terms
4x + 8y - 2x + 2y

10x^2 + 4 - 10x + 1 - 5x^2

Answer 1

Let's simplify each expression step by step.

1. For the expression \(4x + 8y - 2x + 2y\):

Combine like terms:

\[
(4x - 2x) + (8y + 2y) = 2x + 10y
\]

So, the simplified expression is:

\[
\boxed{2x + 10y}
\]

2. For the expression \(10x^2 + 4 - 10x + 1 - 5x^2\):

Combine like terms:

- For \(x^2\) terms: \(10x^2 - 5x^2 = 5x^2\)
- For \(x\) terms: \(-10x\) (there is no other \(x\) term to combine with)
- For constant terms: \(4 + 1 = 5\)

Putting it all together:

\[
5x^2 - 10x + 5
\]

So, the simplified expression is:

\[
\boxed{5x^2 - 10x + 5}
\]