Maths-
General
Easy
Question
(𝑎 + (−3))2 =
- 𝑎2 + 6𝑎 + 9
- 𝑎2 − 6𝑎 + 9
- 𝑎2 − 9
- 𝑎2 + 9
Hint:
The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2
The correct answer is: 𝑎2 − 6𝑎 + 9
(𝑎 + (−3))2 can be written as (𝑎 + (−3))(𝑎 + (−3))
(𝑎 + (−3))(𝑎 + (−3)) = a(𝑎 + (−3)) − 3(𝑎 + (−3))
= a(a) + a(-3) - 3(a) - 3(-3)
= a2 - 3a - 3a + 32
= a2 - 6a + 9
Final Answer:
The simplified value of (𝑎 + (−3))2 is a2 - 6a + 9. Hence, option b is correct.
Final Answer:
The simplified value of (𝑎 + (−3))2 is a2 - 6a + 9. Hence, option b is correct.
This question can be easily solved by using the formula
(a - b)2 = a2 - 2ab + b2
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