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Z04 Math
Question 45
2021 April(Z04) Math Question 45
Algebraic & Function Expressions
- Simplify Algebraic Expressions
Using Rational Expressions
Choice E
{
x
}
{
x
+
y
}
+
{
y
}
{
x
−
y
}
=
?
\frac\{x\}\{x+y\}+\frac\{y\}\{x-y\}=?
x
{
}
{
x
+
y
}
+
y
{
}
{
x
−
y
}
=
?
=
{
x
(
x
−
y
)
+
y
(
x
+
y
)
}
{
(
x
+
y
)
(
x
−
y
)
}
=\frac\{x(x-y)+y(x+y)\}\{(x+y)(x-y)\}
=
x
{
(
x
−
y
)
+
y
(
x
+
y
)}
{(
x
+
y
)
(
x
−
y
)}
=
{
x
2
−
x
y
+
x
y
+
y
2
}
{
x
2
−
y
2
}
=\frac\{x^2-xy+xy+y^2\}\{x^2-y^2\}
=
x
{
2
−
x
y
+
x
y
+
y
2
}
{
x
2
−
y
2
}
=
{
x
2
+
y
2
}
{
x
2
−
y
2
}
=\frac\{x^2+y^2\}\{x^2-y^2\}
=
x
{
2
+
y
2
}
{
x
2
−
y
2
}
Skills you are tested for:
Using Rational Expressions
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