Question

solve the following equation when a = 3 and b = 2. 5a² - 10b + 9b =

Explanation:

Step1: Simplify the like terms

First, we simplify the terms with \( b \). The terms \( -10b \) and \( +9b \) are like terms. So, \( -10b + 9b=-b \). The equation becomes \( 5a^{2}-b \).

Step2: Substitute the values of \( a \) and \( b \)

We know that \( a = 3 \) and \( b = 2 \). Substitute these values into the simplified equation. First, calculate \( a^{2} \) when \( a = 3 \), so \( a^{2}=3^{2} = 9 \). Then, calculate \( 5a^{2} \): \( 5\times9 = 45 \). Now, substitute \( b = 2 \) into \( -b \), we get \( - 2 \).

Step3: Calculate the final result

Now, we have \( 5a^{2}-b=45-2 \). Calculate \( 45 - 2=43 \).

Answer:

\( 43 \)