Algebra Formulas For Class 10

The study of Algebra requires an intrinsic and deep understanding of formulas, terms and concept. Hence, to ease this task we provide to you “Algebra Formulas for class 10”, a thorough and complete guide exclusively drafted to boost the confidence of the students. All algebra formulas and algebraic identities for class 10 in a single page format will help students to grasp and understand every concept thoroughly and solve problems easily.

The CBSE class 10 Mathematics consists algebra in many chapters like:

  • Algebraic method of solving a pair of the linear equation- Elimination Method
  • Algebraic method of solving a pair of the linear equation– Substitution Method
  • Algebraic method of solving a pair of the linear equation- Cross Multiplication Method

All the algebraic identities for class 10 formulas covered in this chapter are provided here. A student may feel difficult to note them and read. To make easy for them, all the important algebra formulas for class 10 are listed below.

Algebraic Identities For Class 10
\(\mathbf{(a+b)^{2}}\) \(=a^2+2ab+b^{2}\)
\(\mathbf{(a-b)^{2}}\) \(=a^{2}-2ab+b^{2}\)
\(\mathbf{\left (a + b \right ) \left (a – b \right ) }\) \( = a^{2} – b^{2}\)
\(\mathbf{ \left (x + a \right )\left (x + b \right ) }\) \(= x^{2} + \left (a + b \right )x + ab\)
\(\mathbf{\left (x + a \right )\left (x – b \right ) }\) \(= x^{2} + \left (a – b \right )x – ab\)
\(\mathbf{\left (x – a \right )\left (x + b \right )}\) \(= x^{2} + \left (b – a \right )x – ab\)
\(\mathbf{\left (x – a \right )\left (x – b \right ) }\) \(= x^{2} – \left (a + b \right )x + ab\)
\(\mathbf{\left (a + b \right )^{3}}\) \( = a^{3} + b^{3} + 3ab\left (a + b \right )\)
\(\mathbf{\left (a – b \right )^{3} }\) \(= a^{3} – b^{3} – 3ab\left (a – b \right )\)
\(\mathbf{(x + y + z)^{2}}\) \( = x^{2} + y^{2} + z^{2} + 2xy + 2yz + 2xz\)
\(\mathbf{(x + y – z)^{2}}\) \( = x^{2} + y^{2} + z^{2} + 2xy – 2yz – 2xz\)
\(\mathbf{(x – y + z)^{2} }\) \(= x^{2} + y^{2} + z^{2} – 2xy – 2yz + 2xz\)
\(\mathbf{(x – y – z)^{2}}\) \( = x^{2} + y^{2} + z^{2} – 2xy + 2yz – 2xz\)
\(\mathbf{x^{3} + y^{3} + z^{3} – 3xyz }\) \( = (x + y + z)(x^{2} + y^{2} + z^{2} – xy – yz -xz)\)
\(\mathbf{x^{2} + y^{2}}\) \( = \frac{1}{2} \left [(x + y)^{2} + (x – y)^{2} \right ]\)
\(\mathbf{(x + a) (x + b) (x + c) }\) \(= x^{3} + (a + b +c)x^{2} + (ab + bc + ca)x + abc\)
\(\mathbf{x^{3} + y^{3}}\) \(= (x + y) (x^{2} – xy + y^{2})\)
\(\mathbf{x^{3} – y^{3}}\) \( = (x – y) (x^{2} + xy + y^{2})\)
\(\mathbf{x^{2} + y^{2} + z^{2} -xy – yz – zx }\) \( = \frac{1}{2} [(x-y)^{2} + (y-z)^{2} + (z-x)^{2}]\)
Linear Equation in Two Variables
\(\mathbf{a_{1}x + b_{1}y + c_{1} }\) \(= 0\)
\(\mathbf{a_{2}x+ b_{2}y + c_{2}} \) \(= 0 \)

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