Expanding Algebraic Expressions

This video tutorial covers the process of expanding brackets, including handling negative numbers and complex expressions. It introduces the grid method for double brackets and explores advanced techniques for dealing with coefficients. The tutorial is designed to help students understand and apply these concepts effectively, preparing them for national level exams.

What is the result of expanding the expression 2(x + 4)?

• 2x + 4

• 2x + 8

• x + 8

• 2x + 12

When expanding -3(y^2 - 2), what is the coefficient of y^2?

• 3

• -3

• 6

• -6

What is the final result of expanding 4w - 3(3w + 2)?

• w - 18

• w + 18

• w + 6

• w - 6

Which method is recommended for expanding double brackets?

• Trial and error

• Grid method

• FOIL method

• Substitution

What is the expanded form of (x + 1)(x + 2)?

• x^2 + 4x + 4

• x^2 + x + 2

• x^2 + 2x + 1

• x^2 + 3x + 2

In the expression (w - 4)^2, what is the middle term after expansion?

• -4w

• 4w

• -8w

• 8w

What is the result of expanding 3w + 1 and 2w - 4?

• 6w^2 - 10w + 4

• 6w^2 - 12w - 4

• 6w^2 - 10w - 4

• 6w^2 - 12w + 4

What is the expanded form of 5p - 4 squared?

• 25p^2 - 20p - 16

• 25p^2 - 40p - 16

• 25p^2 - 20p + 16

• 25p^2 - 40p + 16

What is the coefficient of the middle term in the expansion of (3w + 1)(2w - 4)?

• -10

• -12

• -8

• -6

What is the final term in the expansion of (5p - 4)^2?

• 16

• -16

• 8

• -8