Multiply (3+a)by(5-2a)
Using the distributive property, we can multiply each term in the first expression by each term in the second expression:
(3+a)(5-2a) = 3(5) + 3(-2a) + a(5) + a(-2a)
Simplifying:
= 15 - 6a + 5a - 2a^2
= -2a^2 - a + 15
Therefore, (3+a)(5-2a) = -2a^2 - a + 15.
To multiply (3+a) by (5-2a), we can use the distributive property:
(3+a)(5-2a) = 3(5-2a) + a(5-2a)
First, we distribute 3 to each term inside the parentheses:
3(5-2a) = 3(5) - 3(2a) = 15 - 6a
Next, we distribute a to each term inside the parentheses:
a(5-2a) = a(5) - a(2a) = 5a - 2a^2
Now, putting both results together, we have:
(3+a)(5-2a) = (15 - 6a) + (5a - 2a^2)
Combining like terms, we get:
(3+a)(5-2a) = 15 - 6a + 5a - 2a^2
Simplifying further, we get:
(3+a)(5-2a) = -2a^2 - a + 15 + 5a
So the final result is:
-2a^2 + 4a + 15