Question
Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 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 − 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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This question can be easily solved by using the formula
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