Which expression is equivalent to (1/2a+5)(3/2a+1)
To find the equivalent expression, we need to multiply the two binomials (1/2a + 5)(3/2a + 1) using the distributive property.
(1/2a + 5)(3/2a + 1)
= (1/2a)(3/2a) + (1/2a)(1) + (5)(3/2a) + (5)(1)
= 3/4a^2 + 1/2a + 15/2a + 5
= 3/4a^2 + 17/2a + 5
Therefore, the equivalent expression is 3/4a^2 + 17/2a + 5.
That’s not an option
Apologies for the mistake. Let's try again:
To find the equivalent expression, we need to multiply the two binomials (1/2a + 5)(3/2a + 1) using the distributive property.
(1/2a + 5)(3/2a + 1)
= (1/2a)(3/2a) + (1/2a)(1) + (5)(3/2a) + (5)(1)
= 3/4a^2 + 1/2a + 15/2a + 5
= 3/4a^2 + 17/2a + 5
Therefore, the equivalent expression is 3/4a^2 + 17/2a + 5.