The correct option is D (5m+2)(m 2) We can write 5m^2 8m 4 =5m^2 10m+2m 4 #160; #160; #160; #160; #160; #160; #160; #16 ...

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Logarithms

Factorise: ...

Question

Factorise: $5 m^{2} - 8 m - 4$

(5 m + 2) (m + 2)

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(5 m - 2) (m - 2)

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(5 m - 2) (m + 2)

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(5 m + 2) (m - 2)

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Solution

The correct option is D $(5 m + 2) (m - 2)$
We can write $5 m^{2} - 8 m - 4$
$= 5 m^{2} - 10 m + 2 m - 4$ $(\frac{S u m = - 8}{P r o d . = - 20})$
$= 5 m (m - 2) + 2 (m - 2)$
$= (5 m + 2) (m - 2)$

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