Final answer:
To solve (4x+7)(2x+5), use the distributive property and the FOIL method to simplify the expression. The solution is 8x^2 + 38x + 35.
Step-by-step explanation:
To solve the expression (4x+7)(2x+5), you can use the distributive property. You will multiply each term in the first parentheses by each term in the second parentheses. FOIL method can help us remember the steps to multiply two binomials: First, Outer, Inner, Last.
Using the FOIL method, you would multiply the first terms, then the outer terms, then the inner terms, and finally the last terms. Simplify the resulting expression, if necessary, by combining like terms.
In this case, multiplying (4x+7)(2x+5) results in 8x^2 + 38x + 35. Therefore, the solution is 8x^2 + 38x + 35.
Learn more about Solving algebraic expressions