Factorising Expressions: Learn How to Factorise Various Terms
In this instructional material, you will learn how to factorise different types of expressions. From expanding a term over a bracket to finding terms that multiply to create an expression, the content covers examples and solutions step-by-step. Explore factorising expressions involving variables like a, b, x, y and understand the process behind simplifying mathematical expressions. Enhance your algebraic skills through practice and clear explanations provided.
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Presentation Transcript
expanding multiplying a term over a bracket. 3(a + 6)
Factorise Finding terms that multiply to make an expression. It is the reverse of expanding. 4a + 3a2
Factorise 15 + 5a 12ab3 + 4a2b
Factorise 4a3 + 10a2b 9a3 + 2b
Factorise 3a2 + 8a3b + 4ab 4xy3+ 6xy
Factorise 6) 6y + 5x2 1) 6a + a2 7) 3ab + 6ab2 2) 12 + 3a 8) 5b2 + 15b 3) 4a2 + 8ab 9) 2a2 + 4a + 6a3 4) 9b + 9b3 10) ab4 + 4ab2 + 3a3b3 5) 4xy2 + 2x2y
answers 1) 6a + a2 = a(6 + a) 6) 6y + 5x2 = N/A 2) 12 + 3a = 3(4 + a) 7) 3ab + 6ab2 3) 4a2 + 8ab = a(6 + a) = 3ab(1 + 2b) 8) 5b2 + 15b 4) 9b + 9b3 = 9b(1 + b) = 5b(b + 3) 9) 2a2 + 4a + 6a3 = 2a(a + 2 + 3a2) 5) 4xy2 + 2x2y = 2xy(y + 2x) 10) ab4 + 4ab2 + 3a3b3 = ab(b3 + 4b + 3a2b2)
