How do you factor the expression 10x^2 - 90?

1 Answer
Jim G.
Feb 6, 2016

10(x-3)(x+3)

Explanation:

in the expression 10x^2 - 90

there is a 'common factor' of 10

hence 10x^2 - 90 = 10( x^2 - 9 )

inside the bracket there is a 'difference of squares '

In general : a^2 - b^2 = (a - b )( a + b )

rArr 10x^2 - 90 = 10 (x - 3 )(x + 3 )

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