Answer:
To multiply the polynomials (3x-4)(4x+3), we can use the distributive property and the rules of multiplication:
Step 1: Multiply the first terms of each polynomial:
(3x)(4x) = 12x^2
Step 2: Multiply the outer terms of each polynomial:
(3x)(3) = 9x
Step 3: Multiply the inner terms of each polynomial:
(-4)(4x) = -16x
Step 4: Multiply the last terms of each polynomial:
(-4)(3) = -12
Step 5: Combine the products obtained from steps 1-4:
12x^2 + 9x - 16x - 12
Step 6: Simplify the expression by combining like terms:
12x^2 - 7x - 12
Therefore, the product of (3x-4)(4x+3) is 12x^2 - 7x - 12.