Question

evaluate without actual multiplication (32)^2

Answer 1

(30+2)(30+2)
900+4+120
1024....


Hope it helps....

Answer 2

Answer:

The value of ( 32 )² is 1024.

Step-by-step-explanation:

We have given that ( 32 )².

We have to find the value of ( 32 )² without actual multiplication.

It can be written as ( 30 + 2 )².

( 30 + 2 )²

⇒ ( 30 )² + 2 × 30 × 2 + ( 2 )² - - [ ( a + b )² = a² + 2ab + b² ]

⇒ 900 + 60 × 2 + 4

⇒ 900 + 120 + 4

⇒ 900 + 100 + 20 + 4

⇒ 1000 + 24

⇒ 1024

∴ ( 32 )² = 1024

Additional Information:

1. Simplification:

The reduced form of an expression is called as the simplified form of that expression.

And the process is known as 'simplification'.

2. Methods to solve such problems:

1. Using basic operations

2. Using basic identities

3. Using basic operations:

In this method, we have to use the basic operations i. e. addition, subtraction, multiplication and division of the algebraic expressions.

4. Using basic identities:

In this method, we have to use some basic algebraic Identities according to the question given.

5. Fundamental Algebraic Identities:

1. ( a + b )² = a² + 2ab + b²

2. ( a - b )² = a² - 2ab + b²

3. a² - b² = ( a + b ) ( a - b )

4. ( a + b )³ = a³ + 3a²b + 3ab² + b³

5. a² + b² = ( a + b )² - 2ab

6. a³ + b³ = ( a + b )³ - 3ab ( a + b )