Sure, let's factorise the given expression step by step:

Given expression: ab(a + b)² + 6ab(a + b)

Step 1: First, we can see that ab(a + b) is a common factor in both terms. Let's factor that out:

= ab(a + b)[(a + b) + 6]

Step 2: Now, simplify the expression inside the square brackets:

= ab(a + b)(a + b + 6)

So, the factorised form of the given expression is ab(a + b)(a + b + 6).

Question

Sure, let's factorise the given expression step by step:

Given expression: ab(a + b)² + 6ab(a + b)

Step 1: First, we can see that ab(a + b) is a common factor in both terms. Let's factor that out:

= ab(a + b)[(a + b) + 6]

Step 2: Now, simplify the expression inside the square brackets:

= ab(a + b)(a + b + 6)

So, the factorised form of the given expression is ab(a + b)(a + b + 6).

Knowee AI · Accepted Answer

Sure, let's factorise the given expression step by step:

Given expression: ab(a + b)² + 6ab(a + b)

Step 1: First, we can see that ab(a + b) is a common factor in both terms. Let's factor that out:

= ab(a + b)[(a + b) + 6]

Step 2: Now, simplify the expression inside the square brackets:

= ab(a + b)(a + b + 6)

So, the factorised form of the given expression is ab(a + b)(a + b + 6).

Factorise ab (a + b)2 + 6ab(a + b)