(a+b)^2–(b+c)^2 as a product of two polynomials

Hey there!!

In order to solve this problem, we will need to use the identity a² - b²

∴ a² - b² = ( a + b ) ( a - b )

According to the question,

a = a + b

b = b + c

( a + b )² - ( b + c )²

... ( a + b + b + c ) ( a + b - b - c )

... ( a + 2b + c ) ( a - c )

Now, we will need to solve this using distributive property.

Distribute a with a , 2b , c and distribute -c with a , 2b and c and then combine all the like terms.

... ( a² + 2ab + ac ) + ( -ac - 2bc - c² )

... ( a² + 2ab + ac - ac - 2bc - c² )

... ( a² + 2ab - bc - c² )

Hope my answer helps!!

good bye

step-by-step explanation:

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: