Find the missing term in the following problem- 3x4 - 4y3 2 - 9x216 - 16y29 - -

The correct option is C 2xy We know that (a b)^2=a^2+b^2 2ab (3x4 4y3)^2= (3x4)^2+ (4y3)^2 2(3x4) (4y3) =9x^216+16y^29 2xy Therefore, the ...

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Standard VI

Mathematics

Substitution

Find the miss...

Question

Find the missing term in the following problem.
${(\frac{3 x}{4} - \frac{4 y}{3})}^{2} = \frac{9 x^{2}}{16} + \frac{16 y^{2}}{9} + ?$ .

2 x y

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- 2 x y

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12 x y

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- 12 x y

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Solution

The correct option is C $- 2 x y$
We know that $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
${(\frac{3 x}{4} - \frac{4 y}{3})}^{2} = {(\frac{3 x}{4})}^{2} + {(\frac{4 y}{3})}^{2} - 2 (\frac{3 x}{4}) (\frac{4 y}{3})$
$= \frac{9 x^{2}}{16} + \frac{16 y^{2}}{9} - 2 x y$
Therefore, the missing term is $- 2 x y$ .

Option (B) is correct

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Similar questions

Q. Find the missing term in the following problem.

{(\frac{3 x}{4} - \frac{4 y}{3})}^{2} = \frac{9 x^{2}}{16} + . . . . . . . . . + \frac{16 y^{2}}{9}

Q. Subtract

2 x y + 9 x^{2}

from

12 x y + 4 x^{2} - 3 y^{2}

Q. Divide

(12 x y + 2 x^{2} y^{2})

2 x y

Find the following products:

(i) (3x + 2y + 2z) (9x² + 4y² + 4z² − 6xy − 4yz − 6zx)

(ii) (4x − 3y + 2z) (16x² + 9y² + 4z² + 12xy + 6yz − 8zx)

(iii) (2ab − 3b − 2c) (4a² + 9b² +4c² + 6 ab − 6 bc + 4ca)

(iv) (3x − 4y + 5z) (9x² +16y²+ 25z² + 12xy −15zx + 20yz)

Q. If

3 x + 4 y = 16

and

x y = 4

; find the value of

9 x^{2} + 16 y^{2}

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Find the missing term in the following problem.(3x4−4y3)2=9x216+16y29+?.

The correct option is C −2xyWe know that (a−b)2=a2+b2−2ab(3x4−4y3)2=(3x4)2+(4y3)2−2(3x4)(4y3)=9x216+16y29−2xyTherefore, the missing term is −2xy.Option (B) is correct

Find the missing term in the following problem.
${(\frac{3 x}{4} - \frac{4 y}{3})}^{2} = \frac{9 x^{2}}{16} + \frac{16 y^{2}}{9} + ?$ .