Find (4.9)square using 2 identity
Answers
Answer:
24.01
Step-by-step explanation:
(4.9)^2=(5-0.1)^2
(a-b)^2=a^2-2ab+b^2
(5-0.1)^2=5^2-2(5)(0.1)+(0.1)^2
=25-1+0.01=24.01
Step-by-step explanation:
The two identities which we can use to find the square of 4.9 are:-
→ (a+b)² = a² + 2ab + b²
→ (a-b)² = a² - 2ab + b²
Now, using (a+b)² = a² + 2ab + b²:-
• We, can also write 4.9 as (4 + 0.9).
→ (4.9)² = (4+0.9)²
→ (4+0.9)² = (4)² + 2×4×0.9 + (0.9)²
→ (4+0.9)² = 16 + 7.2 + 0.81
→ (4+0.9)² = 24.1
Therefore, (4.9)² is equal to 24.1 using (a+b)² = a² + 2ab + b²
Now, using (a-b)² = a² - 2ab + b²:-
• We, can also write 4.9 as (5 - 0.1).
→ (4.9)² = (5 - 0.1)²
→ (5 - 0.1)² = (5)² - 2×5×0.1 + (0.1)²
→ (5 - 0.1)² = 25 - 1 + 0.1
→ (5 - 0.1)² = 24.1
Therefore, (4.9)² is equal to 24.1 using (a-b)² = a² - 2ab + b²
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