Find the product. Write your solution in standard form. (g+10)(2g−5)(𝑔+10)(2𝑔−5)

Sure, let's solve this step by step:

Step 1: Distribute the first term in the first binomial to both terms in the second binomial:

(g * 2g) + (g * -5) = 2g^2 - 5g

Step 2: Distribute the second term in the first binomial to both terms in the second binomial:

(10 * 2g) + (10 * -5) = 20g - 50

Step 3: Add the results from step 1 and step 2:

(2g^2 - 5g) + (20g - 50) = 2g^2 + 15g - 50

So, the product of (g+10)(2g−5) is 2g^2 + 15g - 50.