Question

solve it
a*(b+c)=(a*b)=​

Answer 1

Answer:

a×(b+c)=a×b+a×c

this is the distributive property

Distributive property say that multiplication an division can be distributed over parenthesis.

a x (b+c) = a x b + a x c

Step-by-step explanation:

The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.

Normally when we see an expression like this :

4(8+3)

we just evaluate what’s in the parentheses first, then solve it :

4(8+3) = 4(11) = 44

This is following the official “order of operations” rule that we’ve learned in the past.

With the distributive property, we multiply the ‘4’ first :

4(8+3)

4•8 + 4•3 [distributive]

We distribute the 4 to the 8, then to the 3.

Then we need to remember to multiply first, before doing the addition!

4•8 + 4•3

32 + 12

= 44

We got the same answer, 44, with both approaches!

Why did we do it differently when we could have easily worked out what was in the brackets first?

This is preparation for when we have variables instead of numbers inside the parentheses.

hope this helps :)