Subtract the following.
a) 2x - 5y + z from 3x - 4y - z
b) -6x + y + 3z from x - 2y - 52
c) 2x3 + 4x2 - 7x from 5x3 - 2x2 + 5x
Answers
Answer:
a = x + y - 2z
b = 7x - 3y - 8z
c = 3x^3 - 6x^2 +12x
Step-by-step explanation:
a) 2x - 5y + z from 3x - 4y - z
= (3x-4y-z) -(2x-5y+z)
= 3x - 4y -z - 2x + 5y - z
= 3x - 2x - 4y + 5y - z - z
= x + y - 2z
b) -6x + y + 3z from x - 2y - 5z
= ( x - 2y - 5z ) - ( -6x + y + 3z )
= x - 2y - 5z + 6x - y - 3z
= x + 6x - 2y - y - 5z - 3z
= 7x - 3y - 8z
c) 2x3 + 4x2 - 7x from 5x3 - 2x2 + 5x
= (5x^3 - 2x^2 + 5x) - (2x^3 + 4x^2 - 7x)
= 5x^3 - 2x^2 + 5x - 2x^3 - 4x^2 + 7x
= 5x^3 - 2x^3 - 2x^2 - 4x^2 + 5x + 7x
= 3x^3 - 6x^2 +12x
Answer:
a) 3x-4y-z- (2x-5y+z)
= 3x-4y-z- 2x+5y-z
= 3x-2x-4y+5y-z-z
= x+y-2z
b) x-2y-52- (-6x+y+3z)
= x-2y-52+ 6x-y-3z
=x+6x-2y-y-3z-52
=7x-3y-3z-52
c) (5×3) - (2×2) + 5x - { (2×3) + (4×2) - 7x }
= 15-4+5x - {6+8-7x}
= 15-4+5x -6-8+7x
= 15-4-6-8+5x+7x
= 2+12x