9
You visited us
9
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Strictly Increasing Functions
Simplify the ...
Question
Simplify the following expressions and evaluate them as directed:
(i)
x
2
(
3
−
2
x
+
x
2
)
for x=1;x=-1;
x
=
2
3
a
n
d
x
=
−
1
2
.
Open in App
Solution
f
(
x
)
=
x
2
(
3
−
2
x
+
x
2
)
x
=
1
f
(
x
)
=
1
2
[
3
−
2
(
1
)
+
(
1
)
2
]
⇒
1
[
3
−
2
+
1
]
⇒
2
x
=
−
1
f
(
x
)
=
(
−
1
)
2
[
3
−
2
(
−
1
)
+
(
−
1
)
2
]
⇒
1
[
3
+
2
+
1
]
⇒
6
x
=
2
3
f
(
x
)
=
(
2
3
)
2
[
3
−
2
(
2
3
)
+
(
2
3
)
2
]
⇒
4
9
[
3
−
4
3
+
4
9
]
⇒
4
9
[
27
−
12
+
4
9
]
⇒
4
9
×
19
9
⇒
76
81
x
=
−
1
/
2
f
(
x
)
=
(
−
1
2
)
2
[
3
−
2
(
−
1
2
)
+
(
−
1
2
)
2
]
⇒
1
4
[
3
+
1
+
1
4
]
⇒
1
4
[
12
+
4
+
1
4
]
⇒
17
16
Suggest Corrections
0
Similar questions
Q.
Simplify the expressions and evaluate them as directed:
x
(
x
−
3
)
+
2
for
x
=
1
Q.
Simplify the expression and evaluate them as directed :
(i) x(x - 3) +2 for x = 1
(ii) 3y (2y - 7) -3 (y-4)-63 for y = -2
Q.
Simplify the expression:
x
2
×
(
x
−
1
)
+
[
(
2
x
+
2
)
×
4
x
]
−
1
Q.
Simplify the following expression and evaluate them as directed:
3
y
(
2
y
−
7
)
−
3
(
y
−
4
)
−
63
for
y
=
−
2
Q.
Evaluate the following integrals by expressing as a limit of sum.
(i)
∫
2
1
(
2
x
+
5
)
d
x
(ii)
∫
2
1
x
2
d
x
(iii)
∫
2
1
e
x
d
x
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
MATHEMATICS
Watch in App
Explore more
Strictly Increasing Functions
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app