Final answer:
To find the product of (4x+5)(3x+4), use the FOIL method to multiply the terms together and combine like terms to get the final product as 12x² + 31x + 20.
Step-by-step explanation:
To find the product of the binomials (4x+5)(3x+4), we use the FOIL method, which stands for First, Outer, Inner, Last. It involves multiplying the First terms, then the Outer terms, Inner terms, and Last terms, and finally adding the results together. Applying this method, we get the product as follows:
(4x)(3x) + (4x)(4) + (5)(3x) + (5)(4)
Which simplifies to: 12x2 + 16x + 15x + 20
Combining like terms, the final product is: 12x2 + 31x + 20
Learn more about Multiplying binomials