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Expanding Double Brackets Worksheet
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Expanding Double Brackets Worksheet
Expand each pair of brackets and collect like terms. Show working where needed. For the applied questions, include the correct units.
Expand and simplify
1.Expand and simplify (x + 5)(x + 2).
2.Expand (x − 6)(x + 3).
3.Expand and collect like terms: (3x + 2)(x − 4).
4.Expand (x + 3)(x + 3).
5.Expand and simplify (2x − 3)(3x + 4).
6.Expand (x + 5)(x − 5). Name the special algebraic pattern formed by multiplying two binomials with the same terms but opposite signs.
7.A rectangular sign is (2x + 5) cm long and (x − 2) cm wide. Write its area as an expanded expression in square centimetres.
Use and recognise expanded expressions
8.Write two binomials whose product is x² + 8x + 15.
9.Expand (5x − 2)(x + 3).
10.Expand and simplify (3x − 4)(2x + 5).
11.Expand (x − 9)(x + 9).
12.A rectangular patio has side lengths (x + 7) m and (x − 3) m. Expand an expression for its area in square metres.
Extension
Try these questions for an extra challenge.
13.Expand (px + q)(rx + s), where p, q, r and s are constants. State the coefficients of x² and x, and the constant term.
14.Expand and simplify (x + 2)(x + 4)(x − 1). Show how you expand two brackets first, then multiply by the remaining bracket.
3 printable pages
Page 1
Page 2
Page 3
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