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Byju's Answer
Standard IX
Mathematics
Visualisation of (X+A)(X+B)
x+1x+2=
Question
(
x
+
1
)
(
x
+
2
)
=
.
A
x
2
+
3
x
+
2
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B
x
2
−
3
x
+
2
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C
x
2
+
3
x
−
2
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Solution
The correct option is
A
x
2
+
3
x
+
2
Here we are using the distributive property
So,
(
x
+
1
)
(
x
+
2
)
=
x
×
x
+
x
×
2
+
1
×
x
+
1
×
2
=
x
2
+
2
x
+
x
+
2
=
x
2
+
3
x
+
2
Thus,
(
x
+
1
)
(
x
+
2
)
=
x
2
+
3
x
+
2
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0
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Q.
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(i)
x
-
1
x
-
2
+
x
-
3
x
-
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=
3
1
3
;
x
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,
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(ii)
1
x
-
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x
-
2
=
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,
x
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(iii)
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x
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,
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(v)
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