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Byju's Answer
Standard IX
Mathematics
(x±a)(x±b) = x²±(a+b)x+ab.
Expand.1 2 p+...
Question
Expand.
(1) (2p + q +5)
2
(2) (m + 2n +3r)
2
(3) (3x +4y − 5p)
2
(4) (7m − 3n − 4k)
2
Open in App
Solution
It is known that,
a
+
b
+
c
2
=
a
2
+
b
2
+
c
2
+
2
a
b
+
2
b
c
+
2
c
a
1
2
p
+
q
+
5
2
=
2
p
2
+
q
2
+
5
2
+
2
×
2
p
×
q
+
2
×
q
×
5
+
2
×
5
×
2
p
=
4
p
2
+
q
2
+
25
+
4
p
q
+
10
q
+
20
p
2
m
+
2
n
+
3
r
2
=
m
2
+
2
n
2
+
3
r
2
+
2
×
m
×
2
n
+
2
×
2
n
×
3
r
+
2
×
3
r
×
m
=
m
2
+
4
n
2
+
9
r
2
+
4
m
n
+
12
n
r
+
6
m
r
3
3
x
+
4
y
-
5
p
2
=
3
x
2
+
4
y
2
+
-
5
p
2
+
2
×
3
x
×
4
y
+
2
×
4
y
×
-
5
p
+
2
×
-
5
p
×
3
x
=
9
x
2
+
16
y
2
+
25
p
2
+
24
x
y
-
40
y
p
-
30
p
x
4
7
m
-
3
n
-
4
k
2
=
7
m
2
+
-
3
n
2
+
-
4
k
2
+
2
×
7
m
×
-
3
n
+
2
×
-
3
n
×
-
4
k
+
2
×
-
4
k
×
7
m
=
49
m
2
+
9
n
2
+
16
k
2
-
42
m
n
+
24
n
k
-
56
k
m
Suggest Corrections
4
Similar questions
Q.
Expand :
(
7
m
−
3
n
−
4
k
)
2
Q.
Expand :
(
3
x
+
4
y
−
5
p
)
2
Q.
Expand
(
1
)
(
2
p
+
q
+
5
)
2
Q.
If m = 2, n=3, p=4, q=0, r=7 and s=10 then the expression
3
m
+
2
n
q
+
p
−
4
p
−
3
n
q
+
r
+
2
p
+
3
m
q
+
m
has the value
Q.
If
2
m
+
n
2
n
−
m
=
16
,
3
p
3
n
=
81
a
n
d
a
=
2
1
10
,
t
h
e
n
a
2
m
+
n
−
p
(
a
m
−
2
n
+
2
p
)
−
1
=
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(x±a)(x±b) = x²±(a+b)x+ab.
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