solve a²+5a-3a²
A) 5a+2a²
B) 5a-2a2
C) 2a²+5a
D) 5a-3a²
First, we can simplify -3a² to -3(a²), then combine like terms by adding a² and 5a:
a² + 5a - 3a² = -3(a²) + 5a + a²
= (-3 + 1)a² + 5a
= -2a² + 5a
Therefore, the answer is B) 5a-2a².
To solve the expression a² + 5a - 3a², we can combine like terms.
First, simplify 5a - 3a².
The terms 5a and -3a² share a common variable, which is 'a'. To combine them, we subtract the coefficients of 5a and -3a².
5a - 3a² = (5 - 3)a² = 2a²
Now, we can rewrite the expression as a² + 2a².
Combining like terms, we add the coefficients of a².
a² + 2a² = (1 + 2)a² = 3a²
Therefore, the simplified form of a² + 5a - 3a² is 3a².
So, the correct answer is:
C) 2a² + 5a