Question

(4a+2)(2a+1) (6a-3)(2a-1)

Answer 1

(4a+2)(2a+1) (6a-3)(2a-1)=

Answer 2

To simplify the expressions, you can use the distributive property (FOIL method) to expand the given expressions. FOIL stands for First, Outer, Inner, Last. Here's how it works:

1. (4a + 2)(2a + 1): First: 4a * 2a = 8a^2 Outer: 4a * 1 = 4a Inner: 2 * 2a = 4a Last: 2 * 1 = 2

Now, combine the terms: (4a + 2)(2a + 1) = 8a^2 + 4a + 4a + 2

Simplify further: (4a + 2)(2a + 1) = 8a^2 + 8a + 2

2. (6a - 3)(2a - 1): First: 6a * 2a = 12a^2 Outer: 6a * (-1) = -6a Inner: (-3) * 2a = -6a Last: (-3) * (-1) = 3

Now, combine the terms: (6a - 3)(2a - 1) = 12a^2 - 6a - 6a + 3

Simplify further: (6a - 3)(2a - 1) = 12a^2 - 12a + 3

So the simplified expressions are:

1. (4a + 2)(2a + 1) = 8a^2 + 8a + 2
2. (6a - 3)(2a - 1) = 12a^2 - 12a + 3