1. 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 + x2 - 1) trees in each
row and Mango trees were planted in (x - 3) rows having (2x + 1) trees in each row.
(a) Find the total number of trees planted.
Answers
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
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Answer:
(x^4+6x^3-5x^2-2x-4) trees
This is the correct answer ...
Hope it will help...