Write algebraic identities with their proof
Answers
(a+b)(a-b)=a2-b2
(a-b)2=a2-2ab+b2
(a+b)2=a2+2ab+b2
(x + a)(x + b) = x2 + (a + b) x + ab
You prove by inputting values of x and y
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Answer:
Algebraic identities for class 8, will teach you the standard identities list, we use to solve the mathematical expressions, which are based on these formulas and identities. Also, students of the 8th standard will learn to prove these identities using distributive law and multiplications techniques.
As we know, identity is equality which is true for all values of the variable. These identities are the algebraic expressions, which defines that the left-hand side(LHS) and the right-hand side(RHS) of the equation is equal for all the values of the variable.
Step-by-step explanation:
Proof of Standard Algebraic Identities
Algebraic identities for class 8
Hence, with this, all three identities are proved. Now let us solve some problems based on these identities.
Algebra Identities Examples
Example 1: Solve (2x + 3) (2x – 3) using algebraic identities.
Solution: By the algebraic identity number 3, we can write the given expression as;
(2x + 3) (2x – 3) = (2x)2 – (3)2 = 4x2 – 9
Example 2: Solve (3x + 5)2 using algebraic identities.
Solution: We know, by algebraic identity number 1,we can write the given expression as;
(3x + 5)2 = (3x)2 + 2*3x*5 + 52
(3x + 5)2 = 9x2 + 30x + 25
