Question

(X by 5 minus 3 y )square​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer:-}}}}$

$\boxed{\bf{{( \dfrac{x}{5} - 3y) }^{2}=\dfrac{ {x}^{2} }{25} + 9 {y}^{2} - \dfrac{6xy}{5} }}$

$\mathfrak{\large{\underline{\underline{Explanation:-}}}}$

${( \dfrac{x}{5} - 3y) }^{2}$

We know that, (a - b)² = a² + b² - 2ab

Here $\sf{a = \dfrac{x}{5} \: and \: b = 3y}$

By substituting the values in the identity we have,

$= {( \dfrac{x}{5}) }^{2} + {(3y)}^{2} - 2( \dfrac{x}{5})(3y)$

$since \: {( \dfrac{a}{b})}^{m} = \dfrac{ {a}^{m} }{ {b}^{m} }$

$= \dfrac{ {x}^{2} }{ {5}^{2} } + 9 {y}^{2} - \dfrac{6xy}{5}$

$= \dfrac{ {x}^{2} }{25} + 9 {y}^{2} - \dfrac{6xy}{5}$

$\boxed{\bf{{( \dfrac{x}{5} - 3y) }^{2}=\dfrac{ {x}^{2} }{25} + 9 {y}^{2} - \dfrac{6xy}{5} }}$

$\mathfrak{\large{\underline{\underline{Identity\:Used:-}}}}$

(a - b)² = a² + b² - 2ab

$\mathfrak{\large{\underline{\underline{Extra\:Information:-}}}}$

What is an identity ?

An equation is called an identity if it is satisfied by any value that replaces its variables.

What is an equation ?

An open sentence which contains '=' sign is called an equation .

What is an open sentence ?

A sentence for which we cannot decide whether it is true or false.

$\mathfrak{\large{\underline{\underline{Some\:Important\:Identities:-}}}}$

1] (a + b)² = a² + b² + 2ab

2] (a - b)² = a² + b² - 2ab

3] (a + b)(a - b) = a² - b²

4] (x + a)(x + b) = x² + (a + b)x + ab

Answer 2

Answer:

x×x/25+9y×9y-6xy/5

explanation:

(x/5-3y) square

=x×x/25+9y×9y-6xy/5