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Expanding Brackets

Expanding Brackets.

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Expanding Brackets

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  1. Expanding Brackets Grade D/C 19/03/2013 Learning Objectives: • To expand a bracket (basic). • To expand a bracket (intermediate). • To expand a bracket (advanced).

  2. Starter • On whiteboards, simplify the following: 12f4g2h3 x 8f7g5h5 b3 x b2 3c2 x 7c5 4de x 6d2e3

  3. Expanding Brackets • In algebra, expand usually means multiply out. • To expand a bracket you multiply each term inside the bracket by the term outside the bracket. 4(a + 6) = 4a+ 24

  4. EXAMPLES: 7(m – 5) 6r(4 + 5r3) 4gh(3g2 – 8h3) 7m– 35 24r+30r4 12g3h– 32gh4 • NOTE: • You can check your answer by factorising the expression.

  5. Starter 3(5x + 8) 4x(3x– 2) 9xy(x – 3y) 15x+ 24 12x2– 8x 9x2y– 27xy2

  6. QUESTIONS • Expand the brackets in the following questions: • Answers can be found at the end of this presentation.

  7. 3a2b(4b2+ 2a) 6cd(3c4d – 2) 12e3f6(3e4f2+ 2) ghi(2 + g2h) j2km2(jk+ k4m) 3pr(8qr2+ 13p) 3(a + 5) 4(2b – 5) 6(5 – 11c) 7(2d + e) 11(3f – 4g) 7(h + 2i) 4m(m + 3) 5n(3n – 2) 14p(2p – 2 + 4) qr(2 + 7r) tu(tu – 5) v2w(1 + v2)

  8. ANSWERS • Answers for the previous questions can be found on the next slide.

  9. 12a2b3+ 6a3b 18c5d2– 12cd 36e7f8+ 24e3f6 2ghi + g3h2i j3k2m2+ j2k5m3 24pqr3+ 39p2r 3a + 15 8b – 20 30 – 66c 14d + 7e 33f – 44g 7h + 14i 4m2+ 12m 15n2– 10n 28p2– 28p + 56 2qr + 7qr2 t2u2 – 5tu v2w + v4w

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