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Math 9 Chapter 4
Algebraic Expressions and Algebraic Formulas-4
1.
The product of conjugate surds square root a+ square root b and square root a- square root b is?
a) square root a- square root b
b) a-b
c) square root a+ square root b
d) a+b
2.
Rationalizing denominator 2/ square root 5- square root 2=?
a) 3[square root 5- square root 2]/2
b) 2[square root 5- square root 2]/3
c) None
d) 2[square root 5+ square root 2]/3
3.
(a+b)
2
= ?
a) a
2
-b
2
+2ab
b) a
2
+b
2
+2ab
c) a
2
+b
2
-2ab
d) a
2
+b
2
+4ab
4.
(a-b)
2
=
a) a
2
+b
2
+2ab
b) a
2
+b
2
-4ab
c) a
2
+b
2
-2ab
d) a
2
+b
2
-ab
5.
(a+b)
2
+ (a-b)
2
=
a) 2(a
2
+ 2b
2
)
b) 4(a
2
+ b
2
)
c) 2(a
2
+ b
2
)
d) 2(a
2
- b
2
)
6.
(a+b+c)
2
=
a) a
2
+b
2
+2c
2
-2ab+2bc+2ca
b) a
2
+b
2
+c
2
+2ab+2bc-2ca
c) a
2
+b
2
+c
2
+2ab+2bc+2ca
d) a
2
+b
2
+c
2
+2ab+2bc+2ca
7.
(a+b)(a-b) =
a) a
2
+ b
2
b) 4ab
c) a
2
- b
4
d) a
2
- b
2
8.
(a+b)
3
=
a) a
3
+b
3
+3ab(a-b)
b) a
3
+b
3
+3(a+b)
c) a
3
+b
3
+3ab
d) a
3
+b
3
+3ab(a+b)
9.
(a-b)
3
=
a) a
3
-b
3
-3ab
b) a
3
-b
3
+3ab
c) a
3
-b
3
-3(a+b)
d) a
3
-b
3
-3ab(a+b)
10.
(a + b)
2
- (a - b)
2
=
a) 4ab
b) -4ab
c) 2ab
d) ab
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