Question

(6x2-5y)2 squares by using the identites​

Answer 1

Correct Question -

(6x -5y)² Evaluate using a suitable identity.

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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Answer 2

Hola !

Question:-

Evaluate (6x-5y)² using the appropriate identity.

Formula to be used:-

$\large\underline{\boxed{\blue{(a-b)²=a²+b²-2ab)}}}$

Solution:-

a = 6x and b = 5y

substituting the values in the formula:-

(6x-5y)²= (6x)²+(5y)²+2(6x)(5y)

$\implies$ 36x²+25y²+60xy