Maths-
General
Easy

Question

Find the value of 𝑚 to make a true statement. 𝑚𝑥2 − 36 = (3𝑥 + 6)(3𝑥 − 6)

hintHint:

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.

    Related Questions to study

    General
    Maths-

    Graph the equation Y equals negative 4 x plus 3

    Graph the equation Y equals negative 4 x plus 3

    Maths-General
    General
    Maths-

    What is the relationship between the sign of the binomial and the sign of the second term in the product?

    What is the relationship between the sign of the binomial and the sign of the second term in the product?

    Maths-General
    General
    Maths-

    Find the product. (2𝑥 − 1)2

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

    Find the product. (2𝑥 − 1)2

    Maths-General

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

    parallel
    General
    Maths-

    The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is

    The coefficient of 𝑥 in the product (𝑥 − 3) (𝑥 − 5) is

    Maths-General
    General
    Maths-

    Find the product. (𝑥 + 9)(𝑥 + 9)

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

    Find the product. (𝑥 + 9)(𝑥 + 9)

    Maths-General

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

    General
    Maths-

     Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
    necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
    What sets did she buy?

     Geeta spends 803.94 to buy a necklace and bracelet set for each of her friends. Each
    necklace costs Rs 7.99 and each bracelet cost 5.89, how many necklace and bracelet
    What sets did she buy?

    Maths-General
    parallel
    General
    Maths-

    Use either the square of a binomial or difference of squares to find the area of the square.

    Use either the square of a binomial or difference of squares to find the area of the square.

    Maths-General
    General
    Maths-

    Use a table to find the product.
    (2𝑥 + 1) (4𝑥 + 1)

    Use a table to find the product.
    (2𝑥 + 1) (4𝑥 + 1)

    Maths-General
    General
    Maths-

    Graph the equation y equals negative 5 x on a coordinate plane.

    Graph the equation y equals negative 5 x on a coordinate plane.

    Maths-General
    parallel
    General
    Maths-

    Use a table to find the product.
    (𝑥 − 6) (3𝑥 + 4)

    Use a table to find the product.
    (𝑥 − 6) (3𝑥 + 4)

    Maths-General
    General
    Maths-

    Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?

    Why the product of two binomials (𝑎 + 𝑏) and (𝑎 − 𝑏) is a binomial instead of a trinomial?

    Maths-General
    General
    Maths-

    Graph the equation straight Y equals negative 0.5 straight x

    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 straight Y equals negative 0.5 straight x

    Maths-General

    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.

    parallel
    General
    Maths-

    The constant term in the product (𝑥 + 3) (𝑥 + 4) is

    The constant term in the product (𝑥 + 3) (𝑥 + 4) is

    Maths-General
    General
    Maths-

    Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)

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

    Write the product in standard form. (3𝑦 − 5)(3𝑦 + 5)

    Maths-General

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

    General
    Maths-

    Write the product in standard form. (𝑥 − 4)(𝑥 + 4)

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

    Write the product in standard form. (𝑥 − 4)(𝑥 + 4)

    Maths-General

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

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.