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Quadratic Expressions and Equations Video Questions and Answers
Simplify the expression
9
t
2
-
25
a
2
6
t
2
+
19
a
t
+
15
a
2
(5m 29s)
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1.
Factorize completely
a
2
+
15
a
b
+
36
b
2
2.
Simplify
(
6
a
+
b
)
(
a
+
b
)
-
7
b
(
a
+
b
)
2
a
2
-
2
b
2
3.
Simplify
a
2
(
a
+
b
)
+
b
2
(
a
-
b
)
4.
If the expression
25
y
2
-
70
y
+
d
is a perfect square, where d is a constant, find the value of d
5.
Factorize
2
x
2
y
2
-
5
x
y
-
12
6.
Factorize completely
28
x
2
+
3
x
-
1
7.
Simplify
2
x
-
2
6
x
2
-
x
-
12
÷
x
-
1
2
x
-
3
8.
Simplify completely
3
x
2
-
1
x
2
-
1
-
2
x
+
1
x
+
1
9.
Factorize completely
3
x
2
-
2
x
y
-
y
2
10.
Find the greatest common factor of
x
3
y
3
and
4
x
y
4
. Hence factorize completely the expression
x
3
y
2
-
4
x
y
4
11.
Factorize
a
2
-
b
2
Hence find the exact value of
2557
2
-
2547
2
12.
Simplify the expression
5
a
-
4
b
=
2
[
a
-
(
2
b
+
c
)
]
13.
Simplify the expression
3
a
2
+
4
a
b
+
b
2
4
a
2
+
3
a
b
-
b
2
14.
Simplify the expression
(3x^2-4xy+y^2)/(9x^2 - y^2)
15.
Simplify:
(x + 2y)^2 -(x - 2y)^2
16.
Simplify the expression
(4x^2 + y^2)/(2x^2 - 7xy + 3y^2)
17.
Simplify the expression
(a + 1/b)^2 - (a - 1/b)^2
18.
Simplify the expression:
(2a^2 - 3ab - 2b^2)/(4a^2 - b^2)
19.
Simplify the expression
(9t^2 - 25a^2)/(6t^2 + 19at + 15a^2)
20.
Simplify
(p^2 + 2pq + q^2)/(p^3 - pq^2 + p^2q - q^3)
21.
Expand the expression;
(x^2 - y^2)(x^2 + y^2)(x^4 - y^4)
22.
Simplify the expression:
(15a^2b - 10ab^2)/(3a^2 - 5ab + 2b^2)
23.
Simplify the expression
(a^4 - b^4)/(a^3 - ab^2)
24.
Simply the expression
(12x^2 + ax - 6a^2)/(9x^2 - 4a^2)
25.
Simplify the expression
(x^2 + x - 4xy - 4y)/((x + 1)(4y^2 - xy))
26.
Simplify the expression:
(4x - 9x^3)/(3x^2 - 4x - 4)
27.
Factorize
2x^2y^2-5xy-12
28.
Expand and simplify the expression
(2x^2 - 3y^3)^2 + 12x^2y^3
29.
Simplify the expression:
(16m^2 - 9n^2)/(4m^2 - mn - 3n^2)
30.
Expand and simplify
(x+2y)^2 - (2y-3)^2
31.
Simplify
(p^2 + 2pq + q^2)/(p^3 - pq^2 + p^2q - q^3)
32.
Expand and simplify
(2x+1)^2+(x-1)(x-3)
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