On the occasion of Van Mahotsav it was decided by the Secretary of Residents Welfare Association to plant saplings of Ashoka trees and Mango trees in the locality. Accordingly Ashoka trees were planted in ( 3x + 1) rows having (x^3 + x^2 - 1) trees in each row and Mango trees were planted in (x - 3) rows having (2x^2 + 1) trees in each row.
i) Find the total number of Ashoka trees?
ii) Find the total number of Mango trees?
iii) Find the total number of trees planted?
Answers
Answered by
3
Answer :
Total Trees = 3x³ + 6x² - 7x - 4 if Ashoka trees planted in (3x + 1) rows having (x + x² - 1) trees in each row and Mango Trees in (x - 3) rows having (2x + 1) trees in each row
Step-by-step explanation:
Ashoka trees were planted in (3x + 1) rows having (x + x² - 1) trees in each
row
=> Total Ashoka Trees = (3x + 1)(x + x² - 1)
= 3x² + 3x³ - 3x + x + x² - 1
= 3x³ + 4x² - 2x - 1
Mango trees were planted in (x - 3) rows having (2x + 1) trees in each row.
=> Total Mango Trees = (x - 3)(2x + 1)
= 2x² + x - 6x - 3
= 2x² - 5x - 3
Total Tress = 3x³ + 4x² - 2x - 1 + 2x² - 5x - 3
= 3x³ + 6x² - 7x - 4
Similar questions