Given is (2x+1)(x−5)
We need to multiply the binomials and write the expression in standard form.
We know about distributive property that is given as "a(b+c) = ab + ac".
We have (2x+1)(x−5).
Step 1: Using Distributive property on first binomial expression (2x+1).
2x(x-5) + 1(x-5)
Step 2: Using Distributive property on second binomial expression (x-5).
2x(x) + 2x(-5) + 1(x) + 1(-5)
2x² - 10x + 1x - 5
Step 3: Combining like terms.
2x² - 9x - 5
Hence, final answer is (2x² - 9x - 5).
