Q. Simplify the following algebraic expressions:
1) ( x + 2y + 3z ) – ( 4z – 2x + 7y )
2) m – (m – n) – m – (n – m)
3) 3x – 2y – xy – (x – y + xy) + 3xy + b – a
4) t
2 + 4 – 7t + t
3
- 5t2 + 2
5) ab – 4a + 4b – ab + 4a – 4b
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Answers
Answer:
Given First expression is 5x
2
+3xy+7y
2
Second expression is 3x
2
+xy+2y
2
Subtracting second expression from first one will give 5x
2
+3xy+7y
2
−3x
2
−xy−2y
2
=2x
2
+2xy+5y
2
Answer:
1) (x+2y+3z)-(4z-2x+7y).
x+2y+3z-4z+2x-7y. (Because -×-=+ & -×+=-).
x+2x+2y-7y+3z-4z. (By combining like terms to understand easily).
3x-5y-z. (Because +×-=- & largest number is important).
2) m-(m-n)-m-(n-m).
m-m+n-m-n+m. (Because -×-=+).
m-m-m+m+n-n. (By combining like terms to understand easily).
0. (Because +×-=- & -×+=- so, everything will cancel).
3) 3x-2y-xy-(x-y+xy)+3xy+y-x.
3x-2y-xy-x+y-xy+3xy+y-x. (Because -×-=+ & -×+=-).
3x-x-x-2y+y+y-xy-xy+3xy. (By combining like terms to understand easily).
x+5xy. (Because -2y+y=-y & -y+y=0 so, there is no y value in answer).
4) t²+4-7t+t³-5t²+2.
t³+t²-5t²-7t+4+2. (By combining like terms to understand easily).
t²-4t²-7t+6. (Because +×-=- & largest number is important).
5) ab-4a+4b-ab+4a-4b.
-4a+4a+4b-4b+ab-ab. (By combining like terms to understand easily).
0. (Because +×-=- & -×+=- so, everything will cancel).
I think this is your answer.