Question

What value of k makes the statement true? x² (2x³ + 7x²yª) = 2xªyª + 7x³y8?

Answer 1

By apply the distributive property of multiplication, the value of k which makes the statement true is 1.

What is the distribution property?

Mathematically, the distributive property of multiplication is given by tis expression:

x(y + z) = xy + xz.

Next, we would apply the distributive property of multiplication to the given equation by distributing to the left-hand side using xy⁴:

k(2x⁴y⁴ + 7x³y⁸) = 2x⁴y⁴ + 7x³y⁸

Dividing both sides by the common factor, we have:

k = (2x⁴y⁴ + 7x³y⁸)/(2x⁴y⁴ + 7x³y⁸)

k = 1.

In conclusion, the value of k which makes the statement true is 1.

Read more on distributive property here; brainly.com/question/2807928

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Complete Question:

What value of k makes the statement true?

$x^k$y⁴(2x³ + 7x²y⁴) = 2x⁴y⁴ + 7x³y⁸