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Quadratic Expressions and Equations Video Questions and Answers
Expand and simplify #(x+2y)^2 - (2y-3)^2#
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1.
Factorize completely #a^2 + 15ab + 36b^2#
2.
Simplify #((6a + b)(a + b)-7b(a + b))/(2a^2 - 2b^2)#
3.
Simplify #(a)/(2(a + b)) + (b)/(2(a-b))#
4.
If the expression #25y^2-70y+d# is a perfect square, where d is a constant, find the value of d
5.
Factorize #2x^2y^2-5xy-12#
6.
Factorize completely #28x^2+3x-1#
7.
Simplify #(2x-2)/(6x^2 - x - 12) -: (x - 1)/(2x - 3)#
8.
Simplify completely #(3x^2 - 1)/(x^2 - 1) - (2x + 1)/(x + 1)#
9.
Factorize completely #3x^2-2xy-y^2#
10.
Find the greatest common factor of #x^3y^3# and #4xy^4#. Hence factorize completely the expression #x^3y^2-4xy^4#
11.
Factorize #a^2-b^2# Hence find the exact value of #2557^2-2547^2#
12.
Simplify the expression #5a - 4b=2[a-(2b+c)]#
13.
Simplify the expression #(3a^2+4ab+b^2)/(4a^2+3ab-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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