InterviewSolution
Saved Bookmarks
| 1. |
निम्न व्यंजकों के गुणनखण्ड ज्ञात कीजिए(i) x4 – x2 – 12(ii) m8 – 11m4n4 – 80n8 |
|
Answer» (i) x4 – x2 – 12 = x4 – (4 – 3)x2 – 12 = x2 – 4x2 + 3x2 – 12 = x2(x2 – 4) + 3(x2 – 4) = (x2 – 4)(x2 + 3) = (x)2 – (2)2(x2+ 3) = (x + 2)(x – 2)(x2 + 3) (ii) m8 – 11m4n4 – 80n8 (∵ 80 = 2 × 2 × 2 × 2 × 5)= m8 – (16 – 5)m4n4 – 80n8 = m8 – 16m4n4 + 5m4n8 – 80n8 = m4 (m4 – 16n4) + n4(m4 – 16n4) = (m4 + 5n4)(m4 – 16n4) = (m4 + 5n4)(m2 + 4n2)(m2 – 4n2) = (m4 + 5n4)(m2 + 4n)(m + 2n)(m – 2n) |
|