# Question Video: Using the Distributive Property of Multiplication to Expand Expressions Containing Brackets Mathematics • 6th Grade

Expand and simplify (2π₯ β 2)(6 β π₯) + (π₯ β 4)(π₯ β 5).

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### Video Transcript

Expand and simplify two π₯ minus two times six minus π₯ plus π₯ minus four times π₯ minus five.

First, we need to use the distributive property, and we need to foil. Two π₯ times six is 12π₯. Two π₯ times negative π₯ is negative two π₯ squared. Negative two times six is negative 12. And negative two times negative π₯ is positive two π₯. Bring down our addition sign. π₯ times π₯ is π₯ squared. π₯ times negative five is negative five π₯. Negative four times π₯ is negative four π₯, and negative four times negative five is positive 20. So now we need to combine like terms. Letβs start with the highest exponents; thatβs the squareds.

So we have negative two π₯ squared plus π₯ squared. That would be negative one π₯ squared or negative π₯ squared. Now letβs add the Twelve π₯ plus two π₯ minus five π₯ minus four π₯ is equal to five π₯.

And now our constants, negative 12 plus 20 is eight. So our final answer: negative π₯ squared plus five π₯ plus eight.