Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Find the square. Simplify your answer.
\newline
(
t
−
3
)
2
(t - 3)^2
(
t
−
3
)
2
View step-by-step help
Home
Math Problems
Algebra 1
Multiply two binomials: special cases
Full solution
Q.
Find the square. Simplify your answer.
\newline
(
t
−
3
)
2
(t - 3)^2
(
t
−
3
)
2
Identify values:
Identify the values of
a
a
a
and
b
b
b
in the binomial
(
t
−
3
)
2
(t - 3)^2
(
t
−
3
)
2
. In this case,
a
=
t
a = t
a
=
t
and
b
=
3
b = 3
b
=
3
.
Apply formula:
Apply the square of a binomial formula to expand
(
t
−
3
)
2
(t - 3)^2
(
t
−
3
)
2
.
\newline
Using the identity
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
(a - b)^2 = a^2 - 2ab + b^2
(
a
−
b
)
2
=
a
2
−
2
ab
+
b
2
, we get:
\newline
(
t
−
3
)
2
=
t
2
−
2
(
t
)
(
3
)
+
3
2
(t - 3)^2 = t^2 - 2(t)(3) + 3^2
(
t
−
3
)
2
=
t
2
−
2
(
t
)
(
3
)
+
3
2
Simplify expression:
Perform the multiplication and addition to simplify the expression.
\newline
t
2
−
2
(
t
)
(
3
)
+
3
2
t^2 - 2(t)(3) + 3^2
t
2
−
2
(
t
)
(
3
)
+
3
2
\newline
=
t
2
−
6
t
+
9
t^2 - 6t + 9
t
2
−
6
t
+
9
More problems from Multiply two binomials: special cases
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
Get tutor help
Posted 5 months ago
Question
Subtract.
\newline
(
9
a
+
5
)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
a
+
5
)
−
(
2
a
+
4
)
\newline
____
Get tutor help
Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
v
2
(
v
2
−
9
)
-3v^2(v^2 - 9)
−
3
v
2
(
v
2
−
9
)
\newline
________
Get tutor help
Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
4
v
+
1
)
\newline
______
Get tutor help
Posted 5 months ago
Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
Get tutor help
Posted 5 months ago
Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
÷
6
t
\newline
______
Get tutor help
Posted 5 months ago
Question
Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
-3q^2(-3q^2 + q)
−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
Get tutor help
Posted 9 months ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
____
Get tutor help
Posted 9 months ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant