ICSE Class 8 Maths Selina Solutions for Chapter 12, "Algebraic Identities," are prepared by subject experts from Physics Wallah.
Algebraic identities involve expressions with both numbers and variables, focusing on key identities such as
(a+b)2(a+b)^2
(
a
+
b
)
2
,
(a−b)2(a-b)^2
(
a
−
b
)
2
, and
(a+b)(a−b)(a+b)(a-b)
(
a
+
b
)
(
a
−
b
)
. The solutions are created to help students understand each step of solving these identities effectively.
They are a valuable resource for students preparing for exams, offering clear guidance and practice to strengthen their grasp of algebraic concepts essential for higher studies in mathematics.
Algebraic Identities
Algebraic identities are fundamental equations in algebra that involve variables and constants. They are expressions that are true for any values of the variables involved. Some common algebraic identities include:
-
Square of a Sum
:
(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2
(
a
+
b
)
2
=
a
2
+
2
ab
+
b
2
-
Square of a Difference
:
(a−b)2=a2−2ab+b2(a - b)^2 = a^2 - 2ab + b^2
(
a
−
b
)
2
=
a
2
−
2
ab
+
b
2
-
Difference of Squares
:
a2−b2=(a+b)(a−b)a^2 - b^2 = (a + b)(a - b)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
-
Cube of a Sum
:
(a+b)3=a3+3a2b+3ab2+b3(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
(
a
+
b
)
3
=
a
3
+
3
a
2
b
+
3
a
b
2
+
b
3
-
Cube of a Difference
:
(a−b)3=a3−3a2b+3ab2−b3(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
(
a
−
b
)
3
=
a
3
−
3
a
2
b
+
3
a
b
2
−
b
3
These identities are important because they allow us to simplify and manipulate algebraic expressions efficiently.
They are used extensively in solving equations, factoring polynomials, and proving mathematical statements. Understanding and applying algebraic identities is essential for mastering algebra and for further studies in mathematics and related fields.
ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities PDF
Here we have provided ICSE Class 8 Maths Selina Solutions Chapter 12 for the ease of students so that they can just download the pdf and use it easily without the internet. These ICSE Class 8 Maths Selina Solutions Chapter 12 will help students understand the chapter better.
ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities PDF
ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities
Below we have provided ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities for the ease of the students –
ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities Exercise 12A
Exercise 12B
ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities Exercise 12C
Benefits of ICSE Class 8 Maths Selina Solutions Chapter 12 Algebraic Identities
The benefits of ICSE Class 8 Maths Selina Solutions Chapter 12, "Algebraic Identities," include:
Clear Explanations
: The solutions provide clear, step-by-step explanations for each problem, helping students understand how to apply algebraic identities effectively.
Comprehensive Coverage
: They cover all the important algebraic identities like
(a+b)2(a+b)^2
(
a
+
b
)
2
,
(a−b)2(a-b)^2
(
a
−
b
)
2
, and
(a+b)(a−b)(a+b)(a-b)
(
a
+
b
)
(
a
−
b
)
, ensuring students grasp the concepts thoroughly.
Practice Problems
: The solutions include a variety of practice problems that allow students to reinforce their understanding and apply the identities in different scenarios.
Exam Preparation
: By practicing with these solutions, students become familiar with the types of questions they may encounter in exams, improving their confidence and performance.
Expert Guidance
: Prepared by subject experts, the solutions ensure accuracy and reliability, providing correct answers and guidance to help students learn effectively.
Enhanced Problem-Solving Skills
: Regular practice with these solutions enhances students' ability to solve algebraic problems efficiently, building their problem-solving skills.
Foundation for Higher Studies
: Mastering algebraic identities lays a strong foundation for advanced mathematical concepts and courses in the future.
Accessible Format
: Available in a structured format, these solutions are easy to access and use, making learning more convenient for students.
