4(p+q) (3a-b) 6(p+q) (2b-3a )?
Expression: 4(p q) (3a-b) 6(p q) (2b-3a)
Explanation:
Let's break down the given expression step by step:
Step 1:
Evaluate 4(p q) by applying the distributive property. The distributive property states that a(b + c) = ab + ac.
4(p q) = 4p + 4q
So, the expression becomes:
(4p + 4q) (3a - b) 6(p q) (2b - 3a)
Step 2:
Evaluate (4p + 4q) (3a - b) by applying the distributive property again.
(4p + 4q) (3a - b) = 4p(3a - b) + 4q(3a - b)
Using the distributive property, we can further simplify it as:
= 12ap - 4bp + 12aq - 4bq
So, the expression becomes:
12ap - 4bp + 12aq - 4bq 6(p q) (2b - 3a)
Step 3:
Evaluate 6(p q) by applying the distributive property.
6(p q) = 6p + 6q
So, the expression becomes:
12ap - 4bp + 12aq - 4bq + 6p + 6q (2b - 3a)
Step 4:
Evaluate (2b - 3a) by applying the distributive property.
(2b - 3a) = 2b - 3a
So, the final simplified expression is:
12ap - 4bp + 12aq - 4bq + 6p + 6q + (2b - 3a)
Final Expression:
The final expression is: 12ap - 4bp + 12aq - 4bq + 6p + 6q + 2b - 3a
In summary:
The given expression, 4(p q) (3a-b) 6(p q) (2b-3a), can be simplified to 12ap - 4bp + 12aq - 4bq + 6p + 6q + 2b - 3a.
4(p+q) (3a-b) 6(p+q) (2b-3a )?
4(p+q)(3a-b)6(p+q)(2b-3a)
4p+4q*3a-b*6p+6q*2b-3a
10p+10q*5b-4a
10(p+q)(5b-4a)
Is this is the answer???