जर (a ³ + b ³ ) (a ² - b ² ) च्या प्रमाणात असेल, तर (a ² - ab + b ² ) च्या प्रमाणात असेल

Question

Question

This question was previously asked in

CDS 02/2022 Elementary Mathematics Official Paper (Held On 04 Sep 2022)

Answer 1

वापरलेले सूत्र:

a 3 + b 3 = (a + b)(a 2 - ab + b 2 )

a ² - b ² = (a + b)(a - b)

गणना:

प्रश्नानुसार

(a 3 + b 3 ) ∝ (a 2 - b 2 )

वरील ओळखींचा वापर करून

⇒ (a + b)(a 2 - ab + b 2 ) ∝ (a + b)(a - b)

⇒ (a 2 - ab + b 2 ) ∝ (a - b)

∴ (a 2 - ab + b 2 ) a - b च्या प्रमाणात असेल

Download Solution PDF