Question

Select expression that is mathematically equivalent to xy−z+ (a - b) X c. y - 2 O
a) x/y – z + (a - b)
b) Xc O x/(y – z) + (a - b)
c) Xc O x/y - 2 + a - b c O
d) x/(y – z) + a – b xc

Answer 1

Question:

Select expression that is mathematically equivalent to

$\frac{x}{y-z} + (a-b)*c$

a) $x/y - z + (a - b) * c$

b) $x/(y - z) + (a - b) * c$

c) $x/y - z + a - b * c$

d) $x/(y - z) + a - b * c$

Answer:

$x/(y - z) + (a - b) * c$

Step-by-step explanation:

Given

$\frac{x}{y-z} + (a-b)*c$

Required

Determine its equivalent

Start by writing y - z in bracket;

$\frac{x}{y-z} + (a-b)*c$

becomes

$\frac{x}{(y-z)} + (a-b)*c$

When - is used as divide, it is equivalent to /

The given expression can then be rewritten as

$x/(y - z) + (a - b) * c$

Hence;

$\frac{x}{y-z} + (a-b)*c$ is equivalent to $x/(y - z) + (a - b) * c$