Question

using the product of algebraic expressions find the formula for (a+b)2 and (a-b)2​

Answer 1

Answer:

Correct option is

D

a

3

+b

3

+ab(ab+1)

(a

2

+b)(a+b

2

)

=a

2

(a+b

2

)+b(a+b

2

)

=a

3

+a

2

b

2

+ab+b

3

=a

3

+b

3

+ab(ab+1)

Answer 2

Answer:

(a+b)²=a²+b²+2ab

(a-b)²=a²+b²+2ab

Step-by-step explanation:

by product of algebraic expression :

=(a+b)²

=(a+b)(a+b)

=a(a+b)+b(a+b)

=a*a+a*b+b*a+b*b

$a \times b = b \times a \: \: (commutative \: property)$

=a²+b²+2ab

now for (a-b)²

=(a-b)²

=(a-b)(a-b)

=a(a-b)-b(a-b)

=a*a-a*b-b*a+b*b

=a²+b²-2ab