Final answer:
The product of the binomials (10x-20)(7x+4) is 70x^2 - 100x - 80, which results from using the distributive property to multiply each term in the first binomial by each term in the second binomial.
Step-by-step explanation:
The student's question appears to ask for the solution of multiplying two binomials, specifically the expression (10x-20)(7x+4). However, there seems to be a confusion as this expression is being multiplied, not solved for a particular value of x. Multiplying binomials involves using the distributive property, also known as FOIL (First, Outer, Inner, Last) method in algebra. Let's multiply the binomials step by step:
- First: Multiply the first terms of each binomial: 10x * 7x = 70x^2.
- Outer: Multiply the outer terms: 10x * 4 = 40x.
- Inner: Multiply the inner terms: -20 * 7x = -140x.
- Last: Multiply the last terms of each binomial: -20 * 4 = -80.
Combine all these results to get the simplified expression: 70x^2 + 40x - 140x - 80 which further simplifies to: 70x^2 - 100x - 80.