Question

Simplify the following:

1) 5a+10a²+2q
2) 4+3a²-1+a²
3) 5y+8-3y²+y+4y²
4) 2p³+1-3p+2p³+5p-5​

Answer 1

To simplify expressions with variables, you combine like terms by adding or subtracting them. In each given expression, like terms are combined to simplify the expression.

Step-by-step explanation:

1) 5a+10a²+2q = 5a + 10a^2 + 2q

We can combine like terms, which are terms that have the same variable and exponent. In this expression, the like terms are 5a and 10a². Therefore, the simplified form is 15a² + 2q.

2) 4+3a²-1+a² = 4 + 3a^2 - 1 + a^2

Again, we can combine like terms, which are 3a² and a². The simplified form is 4 + 4a² - 1.

3) 5y+8-3y²+y+4y² = 5y + 8 - 3y² + y + 4y²

Combine the like terms 5y and y, as well as -3y² and 4y². The simplified form is 6y + 8 + y².

4) 2p³+1-3p+2p³+5p-5 = 2p³ + 2p³ - 3p + 5p + 1 - 5

Combine like terms, which are 2p³ and 2p³, as well as -3p and 5p. The simplified form is 4p³ + 2p - 4.