Question

How would i solve Simplify. -6(x-3)-4(y+5)+(-5)(7-2b) because i had it ona test and put it in wolfram alpha but for the first time i was stumpedand Iwanna know step by step how to solve it the distrubtuive propery has always been a pain for me so can anyone teach me

Answer 1

Answer:

-6x - 4y + 10b - 37

Step-by-step explanation:

-6(x-3)-4(y+5)+(-5)(7-2b)

-6x + 18 - 4y - 20 - 35 + 10b

-6x - 4y + 10b - 37

Answer 2

The distributive properties applies every time you want to multiply a whole parenthesis by a number.

As the name suggests, you "distribute" the number to all terms in the parenthesis: you perform as many multiplication as many terms in the parenthesis.

So, for example, we begin with

$-6(x-3)$

So, we multiply -6 times both terms in the parenthesis, and sum the results:

$-6(x-3) = -6\cdot x + (-6)\cdot(-3) = -6x+18$

And so on with the other terms:

$-4(y+5) = -4\cdot y + (-4)\cdot5 = -4y-20$

$(-5)(7-2b) = -5\cdot 7 + (-5)\cdot(-2b) = -35+10b$

Now sum all the pieces together:

$-6(x-3)-4(y+5)+(-5)(7-2b) = -6x+18 + (-4y-20) + (-35+10b) = -6x-4y+10b + 18 - 20 - 35 =-6x-4y+10b -37$