Maths-
General
Easy

Question

Write the product in standard form. (2𝑥 + 5)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: 25


    (2𝑥 + 5)2 can be written as (2𝑥 + 5)(2𝑥 + 5)
    (2𝑥 + 5)(2𝑥 + 5) = 2x(2x + 5) + 5(2x + 5)

    =  2x(2x) +  2x(5) + 5(2x) + 5(5)

    = 4x2 + 10x + 10x + 25

    = 4x2 + 20x + 25
    Final Answer:
    Hence, the simplified value of (2𝑥 + 5)2 is  4x2 + 20x + 25.
     

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

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