Maths-
General
Easy

Question

Write the product in the standard form. (0.4𝑥 + 1.2)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: 1.44


    (0.4x + 1.2)2 can be written as (2 over 5x + 6 over 5)2 which can be further written as (2 over 5x + 6 over 5)(2 over 5x + 6 over 5)
    (2 over 5x + 6 over 5)(2 over 5x + 6 over 5) = 2 over 5x(2 over 5x + 6 over 5) + (2 over 5x + 6 over 5)

    2 over 5 x(2 over 5x) + 2 over 5 x(6 over 5) + 6 over 5(2 over 5x) + 6 over 5(6 over 5)
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals 4 over 25 x squared plus 12 over 25 x plus 12 over 25 x plus 36 over 25 end cell row cell equals 4 over 25 x squared plus 24 over 25 x plus 36 over 25 end cell end table

    = 0.16x2 + 0.96x + 1.44
    Final Answer:
    Hence, the simplified value of (0.4𝑥 + 1.2)2 is  0.16x2 + 0.96x + 1.44.
     

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

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