Maths-
General
Easy

Question

Find the product. (2𝑥 − 1)2

hintHint:

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: 1


    (2𝑥 − 1)2 can be written as (2𝑥 − 1)(2𝑥 − 1)
    (2x − 1)(2x − 1) = 2x(2x - 1) - 1(2x - 1)

    =  2x(2x) +  2x(-1) - 1(2x) - 1(-1)

    = 4x2 - 2x - 2x + 1

    = 4x2 - 4x + 1
    Final Answer:
    Hence, the simplified value of (2𝑥 − 1)2  is   4x2 - 4x + 1.
     

    This question can be easily solved by using the formula
    (a - b)2 = a2 - 2ab + b2

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