বীজগাণিতিক প্রসারণ সূত্র কোনটি
a) (a+b)^2
b) (a-b)^2
please give right answer
Answers
Answer:
a no: The (a + b)2 formula is the algebraic identity used to find the square of the sum of two numbers. To find the formula of the binomial in the form (a + b)2, we will just multiply (a + b) (a + b).
(a + b)2= (a + b)(a + b)
= a2 + ab + ba + b2
= a2 + 2ab + b2
Therefore, (a + b)2 formula is: (a + b)2 = a2 + 2ab + b2
b no: The square of this expression is written as ( a − b ) 2 in mathematical form and it is expanded as a 2 − 2 a b + b 2 mathematically. In mathematics, this algebraic identity is used as a formula and it is called in the following three ways. (a-b)²= (a-b)(a-b)
= a(a-b)-b(a-b) [Addition Distributive Law]
=a²-ab-ba+b² [Addition Distributive Law]
=a²-ab-ab+b² [Multiplication Commutative Law]
=a²-2ab+b²
So, (a-b)²= a²-2ab+b²
Again we know
(a+b)²= (a+b)(a+b)
= a(a+b)+b(a+b) [Addition Distributive Law]
=a²+ab+ba+b² [Addition Distributive Law]
=a²+ab+ab+b² [Multiplication Commutative Law]
=a²+2ab+b²
Step-by-step explanation: