Question

solve this quadratic trinomial expression 9x²+16y²​

Answer 1

Answer:

Answer:

The factorization is

9x^2-16y^2=(3x-4y)(3x+4y)9x

2

−16y

2

=(3x−4y)(3x+4y)

Step-by-step explanation:

Given the equation

9x^2-16y^29x

2

−16y

2

we have to factorize the above equation.

9x^2-16y^2=(3x)^2-(4y)^29x

2

−16y

2

=(3x)

2

−(4y)

2

By the identity

a^2-b^2=(a-b)(a+b)a

2

−b

2

=(a−b)(a+b)

Put a=3x and b=4y

(3x)^2-(4y)^2=(3x-4y)(3x+4y)(3x)

2

−(4y)

2

=(3x−4y)(3x+4y)

which is required solution.

Answer 2

Answer:

(3x + 4y)^2 - 24xy

Step-by-step explanation:

(3x^2) + (4y^2)

(3x + 4y)^2 - 2 * 3x * 4y (using [a+b]^2 = a^2 + b^2 + 2ab)

(3x + 4y)^2 - 24xy

It is a trinomial expression as well.

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