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(
x
−
y
)
(
x
−
4
y
)
(x-y)(x-4y)
(
x
−
y
)
(
x
−
4
y
)
+
−
.
ln
>
<
×
÷
/
log
≥
≤
(
)
log
x
=
%
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"(x+1)/2+4=7"
"factor x^2+5x+6"
"integrate cos(x)^3"
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expand((x-y)(x-4y))
expand (x-y)(x-4y)
(x-y)(x-4y)
1
Use the FOIL method:
(
a
+
b
)
(
c
+
d
)
=
a
c
+
a
d
+
b
c
+
b
d
(a+b)(c+d)=ac+ad+bc+bd
(
a
+
b
)
(
c
+
d
)
=
a
c
+
a
d
+
b
c
+
b
d
.
x
2
−
4
x
y
−
y
x
+
4
y
2
{x}^{2}-4xy-yx+4{y}^{2}
x
2
−
4
x
y
−
y
x
+
4
y
2
2
Collect like terms.
x
2
+
(
−
4
x
y
−
x
y
)
+
4
y
2
{x}^{2}+(-4xy-xy)+4{y}^{2}
x
2
+
(
−
4
x
y
−
x
y
)
+
4
y
2
3
Simplify.
x
2
−
5
x
y
+
4
y
2
{x}^{2}-5xy+4{y}^{2}
x
2
−
5
x
y
+
4
y
2
Done
x^2-5*x*y+4*y^2
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