Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Simplify:
\newline
(
x
+
1
)
(
x
−
4
)
\left(x + 1\right)\left(x - 4\right)
(
x
+
1
)
(
x
−
4
)
View step-by-step help
Home
Math Problems
Algebra 2
Simplify radical expressions involving fractions
Full solution
Q.
Simplify:
\newline
(
x
+
1
)
(
x
−
4
)
\left(x + 1\right)\left(x - 4\right)
(
x
+
1
)
(
x
−
4
)
Apply Distributive Property:
Apply the
distributive property
(FOIL method) to expand the expression.
\newline
(
x
+
1
)
(
x
−
4
)
=
x
⋅
x
+
x
⋅
(
−
4
)
+
1
⋅
x
+
1
⋅
(
−
4
)
(x + 1)(x - 4) = x \cdot x + x \cdot (-4) + 1 \cdot x + 1 \cdot (-4)
(
x
+
1
)
(
x
−
4
)
=
x
⋅
x
+
x
⋅
(
−
4
)
+
1
⋅
x
+
1
⋅
(
−
4
)
\newline
=
x
2
−
4
x
+
x
−
4
x^2 - 4x + x - 4
x
2
−
4
x
+
x
−
4
Combine Like Terms:
Combine like terms in the expanded expression.
\newline
x
2
−
4
x
+
x
−
4
=
x
2
−
3
x
−
4
x^2 - 4x + x - 4 = x^2 - 3x - 4
x
2
−
4
x
+
x
−
4
=
x
2
−
3
x
−
4
More problems from Simplify radical expressions involving fractions
Question
Find the real-number root.
\newline
16
\sqrt{16}
16
\newline
\newline
Write your answer in simplified form.
\newline
_
_
_
_
\_\_\_\_
____
Get tutor help
Posted 1 year ago
Question
Find the real-number root.
\newline
9
16
\sqrt{\frac{9}{16}}
16
9
\newline
Simplify your answer and write it as a decimal or as a proper or improper fraction.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Posted 1 year ago
Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth.
\newline
`\sqrt{957} `
\newline
_______
Get tutor help
Posted 1 year ago
Question
Multiply. Write your answer in simplest form.
\newline
273
×
42
\sqrt{273} \times \sqrt{42}
273
×
42
\newline
______
Get tutor help
Posted 10 months ago
Question
Simplify.
\newline
63
4
\sqrt{\frac{63}{4}}
4
63
\newline
______
Get tutor help
Posted 1 year ago
Question
Simplify. Rationalize the denominator.
\newline
−
4
9
−
2
\frac{-4}{9 - \sqrt{2}}
9
−
2
−
4
\newline
______
Get tutor help
Posted 1 year ago
Question
Solve for
z
z
z
.
\newline
16
=
z
16 = \sqrt{z}
16
=
z
\newline
z
=
z =
z
=
_____
Get tutor help
Posted 1 year ago
Question
Simplify the radical expression.
14
x
14
\sqrt{14x^{14}}
14
x
14
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
. ______
Get tutor help
Posted 1 year ago
Question
Simplify the radical expression.
\newline
12
x
12
\sqrt{12x^{12}}
12
x
12
\newline
Write your answer in the form
A
A
A
,
B
\sqrt{B}
B
, or
A
B
A\sqrt{B}
A
B
, where
A
A
A
and
B
B
B
are constants or expressions in
x
x
x
. Use at most one radical in your answer, and at most one absolute value symbol in your expression for
A
A
A
.
\newline
‾
\underline{\hspace{3cm}}
Get tutor help
Posted 1 year ago
Question
What is the value of
sin
(
5
π
6
)
?
\sin \left(\frac{5 \pi}{6}\right) ?
sin
(
6
5
π
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
3
2
-\frac{\sqrt{3}}{2}
−
2
3
\newline
(B)
−
2
2
-\frac{\sqrt{2}}{2}
−
2
2
\newline
(C)
1
2
\frac{1}{2}
2
1
\newline
(D)
150
150
150
Get tutor help
Posted 1 year ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant