(3/4 x - 5/6 y)² - (3/4 x + 5/6y)² is equal to

Correct Answer is : −52-5/2−25 xy

Correct Answer is : −52-5/2−25 xy

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CTET Paper II (Mathematics and Science) 24 Dec 2021 Solved Paper

Question : 37 of 150

Marks: +1, -0

(\frac{3}{4} x -

y)^{2} -

\frac{5}{6}

y)^{2} is equal to

Solution:

Concept:

Use the algebraic identity

(a - b)^2 - (a + b)^2 = -4ab

to simplify the given expression.

Explanation:

Identify

a = \frac{3}{4}x

and

b = \frac{5}{6}y

Substitute into the identity:

-4 \times a \times b = -4 \times \frac{3}{4}x \times \frac{5}{6}y

Simplify step by step:

-4 \times \frac{3}{4} = -3

, then

-3 \times \frac{5}{6} = -\frac{15}{6} = -\frac{5}{2}

. So the result is

-\frac{5}{2}xy

Answer:

-\frac{5}{2}

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