In this post, we have added a download link for an Algebra Formula PDF. This PDF contains a chart with a collection of important algebra formulas that are commonly used by students in grades 8-12.
Algebra is a branch of mathematics that involves using symbols, signs, and other notation to represent and manipulate numerical equations.
These formulas are essential for solving algebraic problems and performing calculations. Whether you are a student learning algebra for the first time or a more advanced learner, having a handy reference guide like this Algebra Formula Chart can be very useful.
How to download Algebra Formula PDF?
You can obtain the Algebra Formula PDF for free by accessing the Download PDF section below. Simply click on the download button in the table of the PDF download section to download the formulas in PDF format.
Algebra Formula PDF details :
Filename | Algebra Formula PDF |
Type | Formula |
Format | |
Size | 346 kb |
Pages | Multiples |
For | Algebra Mathematics |
Algebra Formula Chart
The provided algebra formulas chart can assist students in solving algebraic math problems. It includes formulas for algebra, squares, and cubes, which can be downloaded using the link provided. Utilize this chart to make tackling algebraic equations easier.
Algebra Formula
- a2 – b2 = (a – b)(a + b)
- (a+b)2 = a2 + 2ab + b2
- a2 + b2 = (a – b)2 + 2ab
- (a – b)2 = a2 – 2ab + b2
- (a + b + c)2 = a2 + b2 + c2 + 2ab + 2ac + 2bc
- a4 – b4 = (a – b)(a + b)(a2 + b2)
- (a – b – c)2 = a2 + b2 + c2 – 2ab – 2ac + 2bc
- a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)
- (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
- a3 – b3 = (a – b)(a2 + ab + b2)
- (a – b)3 = a3 – 3a2b + 3ab2 – b3
- (a + b)3 = a3 + 3a2b + 3ab2 + b3
- a3 + b3 = (a + b)(a2 – ab + b2)
- (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4)
- (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4)
Square Formulas
- (a + b) 2 = a 2 + b 2 + 2ab
- (a − b) 2 = a 2 + b 2 − 2ab
- a 2 − b 2 = (a − b) (a + b)
- (a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca
- (x + a) (x + b) = x 2 + (a + b) x + ab
- (a + (−b) + (−c)) 2 = a 2 + (−b) 2 + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)(a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca
Cube Formulas
- (a + b) 3 = a 3 + b 3 + 3ab(a + b)
- (a − b) 3 = a 3 – b 3 – 3ab(a – b)
- a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
- a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
- (a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
- a 3 + b 3 + c 3 − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)
Algebra Formula PDF
For obtaining PDF formulas, simply download them from the designated area below.
Details | Links | |
Download PDF | Algebra Formula Chart Mathematical Algebra Formula Algebraic Formula Sheet |
Examples and some solutions
Here the following maths have been solved using the formula of algebra (a – b)2 = a2 – 2ab + b2
- (x-7)2
=(x2 )-2×x×7+(7)2
=x2 -14x+49
One more example by using formula (a+b)(a-b)=a2 -b2
- (2x+3(2x-3)
=(2x)2 -(3)2
4×2 -9
FAQs
What is algebra?
Algebra is the area of mathematics which involves the investigation of numbers, mathematical operations, and symbols.
How to memorize algebra formulas easily?
Memorizing algebraic formulas can be achieved with ease by utilizing the helpful tip of memorizing algebraic identities. To further understand, looking for instructional videos on YouTube is suggested to see techniques used to remember such equations.
Do algebra formulas differ class-wise?
No, Algebra formulas are the same for every class of students.
Conclusion
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