Question

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Answer 1

EXPLANATION.

(1) = [3x/4 + 4y/5]².

As we know that,

Formula of :

⇒ (x + y)² = x² + y² + 2xy.

Using this formula in the equation, we get.

⇒ (3x/4)² + (4y/5)² + 2(3x/4)(4y/5).

⇒ 9x²/16 + 16y²/25 + 6xy/5.

(2) = x² - 4/y².

As we know that,

Formula of :

⇒ (x² - y²) = (x + y)(x - y).

Using tis formula in the equation, we get.

⇒ (x)² - (2/y)² = (x + 2/y)(x - 2/y).

(3) = (x/2 - y/3)².

As we know that,

Formula of :

⇒ (x - y)² = x² + y² - 2xy.

Using this formula in the equation, we get.

⇒ (x/2)² + (y/3)² - 2(x/2)(y/3).

⇒ x²/4 + y²/9 - xy/3.

Option (1) = b.

Option (2) = c.

Option (3) = a.

Answer 2

EVALUATION★

(1)

$( \frac{3}{4}x + \frac{4}{5}y) {}^{2}$

• we know that

• $= > (a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2}$
• $( \frac{3}{4}x) {}^{2} + 2( \frac{3}{4}x )( \frac{4}{5}y) + ( \frac{4}{5} y) {}^{2} \\ \\ = \frac{9x {}^{2} }{16} + \frac{6xy}{5} + \frac{16y {}^{2} }{25}$

(2)

• $= (x {}^{2} - \frac{4}{y {}^{2} })$
• can we be this written as

• $= (x {}^{2} - \frac{2 {}^{2} }{y {}^{2} } ) \\ \\ = x {}^{2} - ( \frac{2}{y}) {}^{2}$
• we know that

• $= > a {}^{2} - b {}^{2} = (a + b)(a - b)$
• $= (x + \frac{2}{y} )(x - \frac{2}{y} )$

(3)

$= ( \frac{x}{2} - \frac{y}{3} ) {}^{2}$

• we know that

• $= > (a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2}$
• $= ( \frac{x}{2}) {}^{2} - 2( \frac{x}{2})( \frac{y}{3} ) + ( \frac{y}{3} ) {}^{2} \\ \\ = \frac{x {}^{2} }{4} - \frac{xy}{3} + \frac{y {}^{2} }{9}$
• ______________________

answer★

• (1) connect (b ) ✅

• (2) connect (c) ✅

• (3) connect ( a) ✅

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I hope it helps you