Maths-
General
Easy

Question

Find the value of π‘š to make a true statement.Β π‘šπ‘₯2 βˆ’ 36 = (3π‘₯ + 6)(3π‘₯ βˆ’ 6)

Hint:

The methods used to find the product of binomials are called special products.
Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign

The correct answer is: 9


    (3x + 6)(3x βˆ’ 6) = 3x(3x - 6) + 6(3x - 6)
    = 3x(3x) + 3x(-6) + 6(3x) + 6(-6)
    = 9x2 - 18x + 18x - 36
    = 9x2 - 36
    Now, 9x2 - 36 = mx2 - 36
    Comparing both sides, we get
    m = 9
    Final Answer:
    Hence, the value of m is 9.

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