Question

Use the distributive property to rewrite the polynomial of (x × 8) (x × -2)

Answer 1

8x^2 - 16x

Step-by-step explanation:

To use the distributive property to rewrite the polynomial (x × 8) (x × -2), you'll multiply each term in the first expression by each term in the second expression and then combine like terms. Here's how it's done:

(x × 8) (x × -2) = 8x * x + 8x * (-2)

Now, multiply each term:

8x * x = 8x^2 (x squared)

8x * (-2) = -16x

So, the polynomial can be rewritten as:

8x^2 - 16x

Answer 2

Final Answer:1.

The polynomial
`\( (x * 8)(x * -2) \)` can be rewritten using the distributive property as
`\( 8x * x - 8x * 2 \)\\`

Step-by-step explanation:

To rewrite the given polynomial
`\( (x * 8)(x * -2) \)` using the distributive property, we distribute each term in the first parenthesis to each term in the second parenthesis.

The distributive property is expressed as
`\( a * (b + c) = a * b + a * c \`). Applying this to the given polynomial, we distribute
`\( x * 8 \)` an
`( x * -2 \)`

The first term becomes
`\( 8x * x \)`and the second term becomes
`\( 8x * -2 \)`. Combining these results, the rewritten polynomial is
`\( 8x * x - 8x * 2 \).`

Further simplifying,
`\( 8x * x \)`is
`\( 8x^2 \)`, and
`\( 8x * 2 \)` is -16x Therefore, the final expression is
`\( 8x^2 - 16x \).`

In summary, using the distributive property, we expanded the given polynomial by multiplying each term in the first set of parentheses with each term in the second set. The final result is
`\( 8x^2 - 16x \),` which is the rewritten form of the original polynomial.