English, asked by Anonymous, 1 month ago

(6x+2)^2 by identity​

Answers

Answered by llMagicLilyll
5

Answer:

(6x

2

−5y)

2

by using (a−b)

2

=a

2

−2ab+b

2

=36x

4

+25y

2

−60x

2

y

Answered by BeastBar
9

Answer:

Given -

An Algerbric expression (6x - 5y)²

To -

Evaluate the above expression

Solution -

By using the 2nd Algerbric identity -

→ (6x -5y) = (6x)² - 2(6x)(5y) + (5y)²

→ 36x² - 60xy + 25y²

Procedure -

→ This Question is from the chapter Algebraic identites.

→ He we are given with an Algerbric expression and we have to evaluate it by using 2nd Algebraic identity which is (x - y)² = x² - 2xy + y²

→ In this first we will do the square of 6x then we will first multiply the 6x and 5y together then we will multiply it with the 2 then we Will do the square of 5y.

→ \therefore∴ The final answer is 36x² - 60xy + 25y².

Other Identities -

1. (x + y)² = x² + 2xy + y²

2. (x - y)² = x² - 2xy + y²

3. (x + y) (x - y) = x² - y²

4. (x + a) (x + b) = x² + (a + b)x + a × b

5. (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx.

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