Expand and simplify $(3x + 2)(2x + 1)(x - 5)$ - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 2
Question 16
Expand and simplify $(3x + 2)(2x + 1)(x - 5)$
Worked Solution & Example Answer:Expand and simplify $(3x + 2)(2x + 1)(x - 5)$ - Edexcel - GCSE Maths - Question 16 - 2019 - Paper 2
Expand $(3x + 2)(2x + 1)$
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To expand the expression (3x+2)(2x+1), use the distributive property (FOIL method):
(3x + 2)(2x + 1) & = 3x imes 2x + 3x imes 1 + 2 imes 2x + 2 imes 1 \\
& = 6x^2 + 3x + 4x + 2 \\
& = 6x^2 + 7x + 2.
\end{aligned}$$Expand $(6x^2 + 7x + 2)(x - 5)$
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Now, expand the result by multiplying it with (x−5):
(6x^2 + 7x + 2)(x - 5) & = 6x^2 imes x + 6x^2 imes (-5) + 7x imes x + 7x imes (-5) + 2 imes x + 2 imes (-5) \\
& = 6x^3 - 30x^2 + 7x^2 - 35x + 2x - 10 \\
& = 6x^3 - 23x^2 - 33x - 10.
\end{aligned}$$Final simplified expression
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The final simplified expression after expanding is:
6x3−23x2−33x−10
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