Question

# Find the value of 𝑚 to make a true statement. 𝑚𝑥^{2} − 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)

= 9x^{2} - 18x + 18x - 36

= 9x^{2} - 36

Now, 9x^{2} - 36 = mx^{2} - 36

Comparing both sides, we get

m = 9

Final Answer:

Hence, the value of m is 9.

### Related Questions to study

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We can find the tabular values for any points of x and then plot them on the graph. But we usually choose values for which calculating y is easier. This makes plotting the graph simpler. We can also find the values by putting different values of y in the equation to get different values for x. Either way, we need points satisfying the equation to plot its graph.

### Graph the equation

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