To make it a scoring topic for all of you, our experts have prepared Algebra Formulas and Tricks in Quant Section. Read this article till the end to know Algebra Formulas and Tricks and boost your preparation?
Quant section plays an important role in most of the competitive exams be it Banking exam, SSC exam or Railway exam. Quant section is an important section. Although the quant section is scoring for most of the students, it is also scary for many students.
Algebra Formulas and Tricks
Algebra may sound daunting to most of you, but we'll help you make it your trump card! Follow yourself up with questions to go through basic algebra formulas quickly.
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Important
Formulas of Algebra
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(a + b)2 =
a2 + b2 + 2ab
(a – b)2 =
a2 + b2 – 2ab
a2 – b2 =
(a + b) (a – b)
(a + b)3 =
a3 + b3 + 3ab (a + b)
(a – b)3 =
a3 – b3 – 3ab (a – b)
a3 + b3 =
(a + b) (a2 + b2 – ab)
a3 – b3 =
(a – b) (a2 + b2 + ab)
(a + b + c)2
= a2 + b2 + c2 + 2 (ab + bc + ca)
(a + b + c)3
= a3 + b3 + c3 + 3(a + b) (b + c) (c + a)
a3 + b3 + c3 – 3abc = (a + b + c) (a2 + b2 + c2 – ab – bc – ca)
= ½ (a +
b + c) [(a – b)2 + (b – c)2 + (c – a)2]
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Now that you have memorized the important algebra formulas, solve the following questions. We have compiled these questions from previous year papers.
Direction:- What should come in place of '?' in the following questions?
- abc
- a + b + c
- ab + bc + ca
- 3
Did you find solution to the question? Want to know how you can solve this question in few seconds? Read on to know the short trick.
Quant Algebra Short Trick - Know How To Solve Algebra In Seconds?
Timing plays a very important role in any exam and by using the above traditional method your 5-10 minutes will be easily missed. Learn how you can solve this difficult algebra question in just a few seconds.
The above equation is a perfect example of homogeneous expressions because all expressions have the same degree.
Degree of composite expression = 2
Now if you check the degree of options:
- abc: degree = 3
- a + b + c : degree = 1
- ab + bc + ca: degree = 2
- 3: degree = 0
Note -
1) When calculating the degree of an expression, keep in mind that we add up the values of the exponent if the variables are multiplied, we subtract the values if the values are divided and the highest degree if the variables are added or subtracted. is taken.
2) A degree is the highest power of expression.
How to find degree of expression?
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Expression
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Corresponding
Degree
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Explanation
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a3
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3
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The value of the exponent
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b or c
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1
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The value of the exponent
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(b + c),
(a– b) or (a-c)
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1
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Highest degree
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a3 (b +
c)
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3 + 1 =
4
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Values are added because they are
multiplied
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(a – b)
(a-c)
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1 + 1 =
2
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Values are added because they are
multiplied
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abc
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1 + 1 +
1 = 3
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The values are added because they are
multiplied.
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a + b +
c
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1
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Highest degree
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ab + bc
+ ca
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1 + 1 =
2
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The values are added first as they are
multiplied, and the highest value is taken.
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3
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0
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Variable is the 0 exponent.
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If you have any doubts regarding Quant Algebra Formulas and Short Tricks, then share your doubts with other fellow aspirants and experts on the below link.
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