Math, asked by banerjeehritama, 11 months ago

3x-4y=16, xy=4, find 9x²+16y²

Answers

Answered by vrsubramani26
4

Answer:

Step-by-step explanation:

(3x-4y)^2 =9x^2+16y^2-24xy

16^2=9x^2+16y^2-96

352=9x^2+16y^2

Answered by laxmikumari231004
9

Answer

(3x - 4y)²= 16²

3x² +4y² - 2( 3x * 4y) = 256

9x² + 16y² - 24xy = 256

9x² + 16y² - 24 * 4 = 256

9x² + 16y² - 96 = 256

9x² + 16y² = 256 +96 = 351


banerjeehritama: one question, why is 24 multiplied by 4 in 3rd step?
laxmikumari231004: because the value of xy is 4 given in the queation
banerjeehritama: awwwwww okkkk thaaaaaaaaaankyouuuuuuu
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