Question

Multiply the binomials: ( + 3 ) and [2] 3

4

a

2 b

2 4(a − )​

Answer 1

The product of the given binomials is \(3a⁴ + 10a²b² - 8b⁴

How to solve the expansion

To multiply the binomials (3/4a² +3b²) and 4(a² - 2/3b²)​, we use the distributive property.

The solution is as follows

=
`\left((3)/(4)a^2 + 3b^2\right) \cdot 4\left(a^2 - (2)/(3)b^2\right)`

=
`4 \cdot (3)/(4)a^2 \cdot \left(a^2 - (2)/(3)b^2\right) + 4 \cdot 3b^2 \cdot \left(a^2 - (2)/(3)b^2\right)`

=
`3a^2 \cdot \left(a^2 - (2)/(3)b^2\right) + 12b^2 \cdot \left(a^2 - (2)/(3)b^2\right)`

=
`3a^4 - 2a^2b^2 + 12a^2b^2 - 8b^4`

=
`3a^4 + 10a^2b^2 - 8b^4`

complete question

Multiply the binomials (3/4a^2 +3b^2) and 4(a^2 -2/3b^2)​