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Byju's Answer
Standard VII
Mathematics
(a+b)(a-b) Expansion and Visualisation
Factorize the...
Question
Factorize the equation
4
x
y
−
x
2
−
4
y
2
+
z
2
A
(
z
−
x
−
2
y
)
(
z
−
x
+
2
y
)
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B
(
z
+
x
−
2
y
)
(
z
+
x
+
2
y
)
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C
(
z
+
x
−
2
y
)
(
z
−
x
+
2
y
)
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D
none of the above
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Solution
The correct option is
C
(
z
+
x
−
2
y
)
(
z
−
x
+
2
y
)
4
x
y
−
x
2
−
4
y
2
+
z
2
=
z
2
−
(
x
2
+
4
y
2
−
4
x
y
)
=
z
2
−
(
x
−
2
y
)
2
=
(
z
+
x
−
2
y
)
(
z
−
x
+
2
y
)
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Similar questions
Q.
Multiply: x
2
+4y
2
+z
2
+2xy+xz-2yz by x-2y-z
Q.
Question 6
Multiply
(
x
2
+
4
y
2
+
z
2
+
2
x
y
+
x
z
–
2
y
z
)
b
y
(
−
z
+
x
–
2
y
.
)
Q.
Question 6
Multiply
(
x
2
+
4
y
2
+
z
2
+
2
x
y
+
x
z
–
2
y
z
)
b
y
(
−
z
+
x
–
2
y
.
)
Q.
Multiply:
(i) x
2
+ y
2
+ z
2
− xy + xz + yz by x + y − z
(ii) x
2
+ 4y
2
+ z
3
+ 2xy + xz − 2yz by x − 2y − z
(iii) x
2
+ 4y
2
+ 2xy − 3x + 6y + 9 by x − 2y + 3
(iv) 9x
2
+ 25y
2
+ 15xy + 12x − 20y + 16 by 3x − 5y + 4
(v) x
2
+ 4y
2
+ z
2
+ 2xy + xz – 2yz by (−z + x – 2y)
Q.
x
2
y
z
+
y
2
z
x
+
z
2
x
y
x
=
x
y
z
+
y
2
z
+
z
2
y
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