(7p+3)(p+1)find each product
use FOIL or distributive property (same thing really)
7 p^2 + 10 p + 3
or
7p (p+1) + 3 (p+1)
= 7 p^2 + 7 p + 3 p + 3
= 7 p^2 + 10 p + 3 again
thank you again haha
To find each product, we will use the distributive property of multiplication.
Here's how you can calculate the product of (7p+3) and (p+1):
Step 1: Multiply the first term of the first expression (7p) by each term in the second expression (p and 1).
- (7p) * (p) = 7p^2 (this is the first term of the product)
- (7p) * (1) = 7p (this is the second term of the product)
Step 2: Multiply the second term of the first expression (3) by each term in the second expression (p and 1).
- (3) * (p) = 3p (this is the third term of the product)
- (3) * (1) = 3 (this is the fourth term of the product)
Step 3: Collect all the terms obtained in steps 1 and 2 to form the final product.
- Final product = 7p^2 + 7p + 3p + 3
Simplifying the above expression gives:
- Final product = 7p^2 + 10p + 3
Therefore, the product of (7p+3) and (p+1) is 7p^2 + 10p + 3.