(X+3y-4z)+(4x-y+9z)+(-2x+3y-z)
Answers
Answer:
First, remove all of the terms from parenthesis. Be careful to handle the signs of the individual terms correctly:
4
x
+
2
y
−
6
z
+
5
y
−
2
z
+
7
z
−
9
z
−
2
x
−
3
y
Next, group like terms together:
4
x
−
2
x
+
2
y
+
5
y
−
3
y
−
6
z
−
2
z
+
7
z
−
9
z
Now, combine like terms:
(
4
−
2
)
x
+
(
2
+
5
−
3
)
y
+
(
−
6
−
2
+
7
−
9
)
z
2
x
+
4
y
−
10
z
Answering step by step.
See there are 3 variables in these 3 algebraic expressions so first we'll arrange them according to their like terms and then simplify...
(X+4X-2X)+(-y+3y)+(-4z+9z-z) As we have arranged the following algebraic expressions according to their like terms so we'll add them now.
Before adding these expressions note that there is bracket in each so the sign changes.
Therefore,
(X+4X-2X) -(y+3y)-(4z+9z-z)
Now we can add
(X+4X-2X)=3X
-(y+3y)=2y
-(4z+9z-z)=4z
so the answer is 3X+2y+4z
Hope it helps you
Thank you