Q13. Evaluate :
(a) xyz - 3yz - 2xy if x=2, y=3, z=0
(b) 4a - 5b + c if a = 2.b = -1,c= 1
Answers
Answer :-
1) -12
2) 14
Given -
- xyz - 3yz -2xy where x = 2, y = 3 and z = 0
- 4a - 5b + c where a = 2 , b = -1 and c = 1
To -
- Evaluate the above expression.
Solution -
In 1st case -
→ (0)(3)(2) - 3(3)(0) - 2(2)(3)
→ 0 - 0 - 12
→ -12 Ans
In 2nd case -
→ 4(2) - 5(-1) + (1)
→ 8 - (-5) + 1
→ 14 Ans
Procedure -
• This question is from the polynomials.
• In this question we are given with 2 expression and value of x,y & z + the values of a,b & c is also given.
• In this we will be puting the values 2 in place of x, 3 in place of y and 0 in place of z in first case and 2 in place of a, -1 in place of b and 1 in place of c in second case.
• After placing the numerical values in place of variable value we will equate the whole expression and will bring out the final answer.
In 1st case = -12 is the answer 2nd case 14 is the answer.
Remember !!
- (+)(-) = -
- (-)(+) = -
- (+)(+) = +
- (-)(-) = +
_______________________________________________________
Answer:
a)-12 b)14
Step-by-step explanation:
a)xyz-3yz-2xy
=y(xz-3z-2x)
=3(2x0 - 3x0 - 2x2)
=3(0-0-4)
=3 x -4
=-12
b)4a-5b+c
=4x2 - 5x(-1) + 1
=8-(-5)+1
=8+5+1
=14
Hope you understood the answer. :)