Expanding & Simplify

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Expand: multiply every term inside brackets.

\(3(x + 2) = 3x + 6\)

Factorise: find common factors or two brackets.

\(x^2 + 5x + 6 = (x + 2)(x + 3)\)

Tip: Numbers must add to middle term and multiply to constant.

Practice

Lvl 1

Expand: 3(2x - 4)

A. 6x - 12
B. 6x - 4
C. 5x - 7

Lvl 1

Expand: 2x(x + 4)

A. \(2x + 4\)
B. \(2x^2 + 4\)
C. \(2x^2 + 8x\)
D. \(2x^2 + 4x\)

Lvl 1

Expand and simplify: \( 4(3x - 2) + 2(x + 5) \)

A. \(14x + 2\)
B. \(12x + 8\)
C. \(10x + 2\)
D. \(14x - 2\)

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