How do you simplify #2 ^ 2 + (13 - 8/4) * 2- (6b - 4) ^ 2#?
Whether you use BODMAS, BIDMAS OR PEDMAS, brackets and parentheses always come first in an expression, followed by exponents and roots, after which comes division and multiplication, and finally addition and subtraction.
For both answers, the first thing to do is to simplify the question. The first thing I do is rearrange the
The second thing I do is simplify
For the first answer, I simply rearrange the equation just so:
and I am done.
Now for the second answer. We have to be careful here because there is a minus sign in front of the second brackets.
and from there I multiply each term to get
This is where I multiply each term inside the brackets by
From here I simplify by adding
Although you could stop here, a last step that can be done involves taking out the common factor of 2 from this whole expression, to end up with the final answer of
I hope that helped!
In an expression with different operations there is a well-defined order in which they have to be done.
First count how many TERMS there are.
Each arithmetic term will simplify to one value while an algebraic term might simplify to several unlike terms.
Within each term:
do BRACKETS first,
then POWERS AND ROOTS,
then MULTIPLY AND DIVIDE.
The simplified terms are only ADDED ANDSUBTRACTED in the LAST step.
We are working with
Take note of what happens within each term from one line to the next.
Re-arrange the terms with the algebraic terms first, and the subtraction at the end: