Express the product of 2x2 + 7x - 10 and x + 5 standard form.​

2x3 + 17x2 + 25x - 50

Step-by-step explanation: Just try to distribute it at every step as follows:

Step 1: Start with the following:

(a + b + c)(d + e)

Step 2: Distribute (d + e) to each of the term in the first parenthesis

a(d + e) + b(d + e) + c(d + e)

Step 3: Distribute d and e to each term:

(ad + ae) + (bd + be) + (cd + ce)

or ad + ae + bd + be + cd + ce without the parentheses.

Step 4: Finally, simplify.

Using the above you should be able to do the following

Step 1: (2x2 + 7x - 10)(x + 5)

Step 2: 2x2(x + 5) + 7x(x + 5) - 10(x + 5)

Step 3: 2x3 + 10x2 + 7x2 + 35x - 10x - 50

Step 4: 2x3 + 17x2 + 25x - 50