Simplify. Remember to use absolute-value notation when necessary. If a root cannot be simplified, state this. it have a check sign(a+3)^2
The check sign (√) indicates square root. The square root of any squared value is that value.
(a+3)^2=a*a + 2*a*3 + 3*3 = a^2 + 6a+ 9
To simplify the expression (a+3)^2, you can apply the exponent rule for a square, which states that (a + b)^2 = a^2 + 2ab + b^2.
In this case, a = a and b = 3. Let's apply this rule step by step:
Step 1: Square the first term (a) in the binomial:
(a + 3)^2 = a^2
Step 2: Multiply the two terms (a and 3) by twice their product:
(a + 3)^2 = a^2 + 2(a)(3)
Step 3: Simplify the resulting expression:
(a + 3)^2 = a^2 + 6a + 9
So, the simplified expression of (a+3)^2 is a^2 + 6a + 9. There is no absolute value notation or simplification involving square roots in this case.