Simplify the expression $a\left(t\right)=\left(5+t^2\right)^2\left(7-t^2\right)^4\sin\left(t\right)^7$

Step-by-step Solution

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Final answer to the problem

$25+10t^2+t^{4}$
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Step-by-step Solution

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Expand the expression $\left(5+t^2\right)^2$ using the square of a binomial

$(a+b)^2=a^2+2ab+b^2$

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$(a+b)^2=a^2+2ab+b^2$

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Learn how to solve algebraic expressions problems step by step online. Simplify the expression a(t)=(5+t^2)^2(7-t^2)^4sin(t)^7. Expand the expression \left(5+t^2\right)^2 using the square of a binomial. Take the square of the first term: 5. Twice (2) the product of the two terms: 5 and t^2. Take the square of the second term: t^2.

Final answer to the problem

$25+10t^2+t^{4}$

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Function Plot

Plotting: $a\left(t\right)-\left(5+t^2\right)^2\left(7-t^2\right)^4\sin\left(t\right)^7$

SnapXam A2
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4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Algebraic expressions

An algebraic expression is a group of terms that are separated by $+$ or $-$ signs.

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