(8−3a^2 )(2a ^ 2 +6)

Just apply the distributive property

= 16a^2 + 48 - 6a^4 - 18a^2
= 48 - 2a^2 - 6a^4

Just realized that scott had already answered this at 6:13 ?

Why did you repost it ????

thanks my b

To simplify the expression (8 - 3a^2)(2a^2 + 6), follow these steps:

Step 1: Start with the first term, 8, and distribute it to both terms in the second parentheses:
8 * 2a^2 = 16a^2
8 * 6 = 48

Step 2: Next, distribute the -3a^2 to both terms in the second parentheses:
-3a^2 * 2a^2 = -6a^4
-3a^2 * 6 = -18a^2

Step 3: Combine like terms by adding the terms with the same exponent:
16a^2 - 6a^4 + 48 - 18a^2

Step 4: Combine the remaining terms:
(16a^2 - 18a^2) + (-6a^4 + 48)

Step 5: Simplify each term separately:
16a^2 - 18a^2 = -2a^2
-6a^4 + 48 = -6a^4 + 48

So, the simplified expression is -2a^2 - 6a^4 + 48.