factorise ?

a(a+b)^2 - 2ab(a+b)

Note that you can factor out a(a+b) from the two terms:

a(a+b) * (a+b - 2b)
Thus,
a(a+b)(a-b)

Hope this helps~ :3

Oh, I see you're trying to factorize an expression. Let's give it a try, shall we?

First, let's notice that "(a + b)" appears in both terms. So, we can pull it out as a common factor:

(a + b) [a(a + b) - 2ab]

Now, let's simplify the expression within the square brackets:

(a + b) [a^2 + ab - 2ab]

Combining like terms, we get:

(a + b) [a^2 - ab]

And voila! We have successfully factorized the expression as (a + b)(a^2 - ab).

To factorize the expression a(a+b)^2 - 2ab(a+b), we can factor out the common term (a+b):

Step 1: Group the terms.
(a+b)(a(a+b) - 2ab)

Step 2: Simplify the expression inside the parentheses.
(a+b)(a^2 + ab - 2ab)

Step 3: Combine like terms.
(a+b)(a^2 - ab)

Therefore, the factorized form of the given expression is (a+b)(a^2 - ab).

To factorize the given expression, we can use the distributive property and common factorization. Let's go step by step:

1. Start with the given expression: a(a+b)^2 - 2ab(a+b).

2. Notice that (a+b) appears as a common factor in both terms.

3. Factor out (a+b) from both terms:
(a+b)(a(a+b) - 2ab)

4. Next, simplify the expression inside the parentheses:
(a+b)(a^2 + ab - 2ab)

5. Combine like terms:
(a+b)(a^2 - ab)

Therefore, the factorization of the given expression is (a+b)(a^2 - ab).