Using binomial theorem, write down the expansions : (ii) \[\left( 2x - 3y \right)^4\]

Using Binomial Theorem, Write Down the Expansions : (Ii) ( 2 X − 3 Y ) 4 - Mathematics

प्रश्न

Using binomial theorem, write down the expansions :

(ii) ${(2 x - 3 y)}^{4}$

उत्तर

(ii) (2x − 3y)⁴

$=^{4} C_{0} (2 x)^{4} (3 y)^{0} -^{4} C_{1} (2 x)^{3} (3 y)^{1} +^{4} C_{2} (2 x)^{2} (3 y)^{2} -^{4} C_{3} (2 x)^{1} (3 y)^{3} +^{4} C_{4} (2 x)^{0} (3 y)^{4}$

$= 16 x^{4} - 4 \times 8 x^{3} \times 3 y + 6 \times 4 x^{2} \times 9 y^{2} - 4 \times 2 x \times 27 y^{3} + 81 y^{4}$

$= 16 x^{4} - 96 x^{3} y + 216 x^{2} y^{2} - 216 x y^{3} + 81 y^{4}$

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Introduction of Binomial Theorem

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Q 1.02 Q 1.01 Q 1.03

अध्याय 18: Binomial Theorem - Exercise 18.1 [पृष्ठ ११]

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अध्याय 18 Binomial Theorem
Exercise 18.1 | Q 1.02 | पृष्ठ ११

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Using Binomial Theorem, Write Down the Expansions : (Ii) ( 2 X − 3 Y ) 4 - Mathematics

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Using Binomial Theorem, Write Down the Expansions : (Ii) ( 2 X − 3 Y ) 4 - Mathematics

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