%C2%B0-(7a%2B8)%C2%B0.jpeg "(5a+4)° (7a+8)°")
Product of Two Binomials: (5a+4)° (7a+8)°
In algebra, when we multiply two binomials, we need to follow the distributive property of multiplication over addition. In this case, we have two binomials: (5a+4)° and (7a+8)°. Let's see how to multiply them.
Multiplication of Binomials
The multiplication of two binomials involves the distributive property, which states that:
(a + b)(c + d) = ac + ad + bc + bd
In our case, we have:
(5a+4)° (7a+8)° = ?
To multiply these binomials, we need to follow the distributive property:
(5a+4)° (7a+8)° = 5a°(7a+8)° + 4°(7a+8)°
Now, let's multiply each term:
= 5a°(7a)° + 5a°(8)° + 4°(7a)° + 4°(8)°
Simplifying each term, we get:
= 35a²° + 40a° + 28a° + 32°
Combine like terms:
= 35a²° + 68a° + 32°
And that's the final answer!
Conclusion
Multiplying two binomials can be a bit tedious, but it's essential to follow the distributive property of multiplication over addition. By doing so, we can expand and simplify the product of two binomials, as we did with (5a+4)° (7a+8)°.
