*The price of one box is (a - 7) Rs. What is the total cost of (a + 7) boxes?*
1️⃣ ₹(a² - 14a + 49)
2️⃣ ₹(a² - 49)
3️⃣ ₹(a² + 14a + 49)
4️⃣ ₹(a² + 49)
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Answer:
4) ₹(a² + 49) is the answer
Step-by-step explanation:
Given :- The price of one box is (a - 7) Rs. What is the total cost of (a + 7) boxes ?
1) ₹(a² - 14a + 49)
2) ₹(a² - 49)
3) ₹(a² + 14a + 49)
4) ₹(a² + 49)
Solution :-
we have,
→ Price of 1 box = ₹ (a - 7)
and,
→ Total number of boxes = (a + 7)
then,
→ Price of all boxes = Price of 1 box * Total number of boxes
→ Price of all boxes = (a - 7) * (a + 7)
using :-
(x - y)(x + y) = x² - y²
→ Price of all boxes = (a)² - (7)²
→ Price of all boxes = ₹(a² - 49) (Ans.2)
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