Four alternative options are given for each of the following statements. Select the correct option.

The expansion of (2x − 3y)² is:

A. 2x² + 3y² + 6xy

B. 4x² + 9y² − 12xy

C. 2x² + 3y² − 6xy

D. 4x² + 9y² + 12xy

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Solution

Using the identitywith a = 2x and b = 3y:

Hence, the correct answer is B.

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Similar questions

(2 x + 3 y)^{2} = 4 x^{2} + 9 y^{2} + M

, find M.

$Find the ecentrictity, coordinates of foci, equations of directrices and length of the latus-rectum of the hyperbola (i) 9 x^{2} - 16 y^{2} = 144 (i i) 16 x^{2} - 9 y^{2} = - 144 (i i i i) 4 x^{2} - 3 y^{2} = 36 (i v) 3 x^{2} - y^{2} = 4 (v) 2 x^{2} - 3 y^{2} = 5$

Q. Find the eccentricity, coordinates of the foci, equations of directrices and length of the latus-rectum of the hyperbola
(i) 9x² − 16y² = 144
(ii) 16x² − 9y² = −144
(iii) 4x² − 3y² = 36
(iv) 3x² − y² = 4
(v) 2x² − 3y² = 5.

Q. If (4x²–3y²):(2x²+5y²)=12:19,find x:y

Q. If

(\begin{matrix} 4 x^{2} - 3 y^{2} \end{matrix}) : (\begin{matrix} 2 x^{2} + 5 y^{2} \end{matrix}) = 12 : 19

, then

x : y

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Four alternative options are given for each of the following statements. Select the correct option. The expansion of (2x − 3y)2 is: A. 2x2 + 3y2 + 6xy B. 4x2 + 9y2 − 12xy C. 2x2 + 3y2 − 6xy D. 4x2 + 9y2 + 12xy

Using the identitywith a = 2x and b = 3y: Hence, the correct answer is B.

Four alternative options are given for each of the following statements. Select the correct option.

The expansion of (2x − 3y)² is:

A. 2x² + 3y² + 6xy

B. 4x² + 9y² − 12xy

C. 2x² + 3y² − 6xy

D. 4x² + 9y² + 12xy

Using the identitywith a = 2x and b = 3y:

Hence, the correct answer is B.