(4x3y−6)(2xy6)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (4x³y - 6)(2xy⁶)

This expression involves multiplying two binomials. To simplify it, we can use the distributive property (also known as the FOIL method).

FOIL stands for:

• First: Multiply the first terms of each binomial.
• Outer: Multiply the outer terms of each binomial.
• Inner: Multiply the inner terms of each binomial.
• Last: Multiply the last terms of each binomial.

Let's apply this to our expression:

1. First: (4x³y) * (2xy⁶) = 8x⁴y⁷
2. Outer: (4x³y) * (6) = 24x³y
3. Inner: (-6) * (2xy⁶) = -12xy⁶
4. Last: (-6) * (6) = -36

Now we combine these terms:

(4x³y - 6)(2xy⁶) = 8x⁴y⁷ + 24x³y - 12xy⁶ - 36

Therefore, the simplified form of the expression (4x³y - 6)(2xy⁶) is 8x⁴y⁷ + 24x³y - 12xy⁶ - 36.