Question

A)(x+y)² x²-y²= b)(d+2)² 7d²+14d

Answer 1

Ответ:

В объяснении.

Объяснение:

(x+y)²=x²+2xy+y².

x²-y²=(x-y)(x+y).

(d+2)²=d²+4d+4.

7d²+14d=7d(d+2).

Answer 2

It seems like you've provided two expressions, A) (x+y)² x²-y² and B) (d+2)² 7d²+14d, but it's not clear what you want to do with these expressions. Are you looking to simplify them, expand them, or perform some other operation? Please provide more context or specify what you'd like to do with these expressions so I can assist you accordingly.

Answer 3

It appears you have two expressions, and you might want to simplify them. Let's simplify each of them:

A) (x + y)² * (x² - y²):

To simplify this expression, we'll use the distributive property to expand the product:

= (x + y)² * (x² - y²) = (x + y)(x + y) * (x² - y²)

Now, we can use the difference of squares identity (a² - b² = (a + b)(a - b)) to further simplify:

= (x + y)(x + y) * [(x + y)(x - y)]

Now, you have two factors:

1. (x + y)(x + y)
2. (x + y)(x - y)

B) (d + 2)² * (7d² + 14d):

To simplify this expression, we'll first expand the square and then use the distributive property:

= (d + 2)² * (7d² + 14d) = (d + 2)(d + 2) * (7d² + 14d)

Now, let's expand the square:

= (d + 2)(d + 2) = d² + 4d + 4

Now, multiply this result by the other factor:

= (d² + 4d + 4) * (7d² + 14d)

To simplify this further, you can distribute the terms from the first expression into the second expression:

= 7d⁴ + 14d³ + 28d² + 4d³ + 8d² + 16d

Now, combine like terms:

= 7d⁴ + (14d³ + 4d³) + (28d² + 8d²) + 16d

= 7d⁴ + 18d³ + 36d² + 16d

So, the simplified expression for B is:

7d⁴ + 18d³ + 36d² + 16d