Expanding Brackets and Simplifying Expressions

These flashcards cover key concepts and examples related to expanding brackets and simplifying algebraic expressions as indicated in the lecture notes.

What is the process called for multiplying out brackets in algebra?

Expanding Brackets.

Expand the expression 4(y + 2).

4y + 8.

How do you expand the expression 5(2x + 7)?

10x + 35.

What do you get when you expand 3(10 - 3y)?

30 - 9y.

Expand and simplify the expression 4(x - 1) + 3(2x + 5).

10x + 11.

What result do you get when expanding 2(7y - 3x)?

14y - 6x.

What is the expanded form of -3(y + 2)?

-3y - 6.

If you expand 6x(y - 2), what is the result?

6xy - 12x.

Expand 2w(3w2 - 5) and simplify.

6w^3 - 10w.

When you expand y(y^2 + 3), what do you get?

y^3 + 3y.

What is the result of expanding the expression 19w - (5 - 4w)?

23w - 5.

What will you get if you expand 7(x + 4) + 5(3 - 2x)?

-3x + 43.