Maths-
General
Easy

Question

Write the product in standard form. (𝑥 − 7)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: 49


    (𝑥 − 7)2 can be written as (𝑥 − 7)(𝑥 − 7)
    (𝑥 − 7)(𝑥 − 7) = x(x - 7) - 7(x - 7)

    =  x(x) +  x(-7) - 7(x) - 7(-7)

    = x2 - 7x - 7x + 72

    = x2 - 14x + 49
    Final Answer:
    Hence, the simplified value of (𝑥 − 7)2 is   x2 - 14x + 49.
     

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

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