The simplified form of the expansion (x+6)(x-1)(x-4) is x³+x²-26x+24
What is a simplification of an expression?
Simplifying an expression is meant to add or subtract the like terms together.
What is an expansion?
Expansion of (a+b)(c+d) is given by
(a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd
How to solve it?
(x + 6)(x - 1)(x - 4)
=( x + 6){x(x - 4) - ( x - 4)}
=( x + 6 ){x² - 4x - x + 4}
=( x + 6 ){x² - (4+1)x + 4}
= ( x + 6 ){x² - 5x + 4}
= x{x² - 5x + 4} + 6{x² - 5x + 4}
= x³ - 5x² + 4x + 6x² - 30x + 24
= x³ + x² - 26x + 24
So, the simplified form of the expansion (x+6)(x-1)(x-4) is x³+x²-26x+24
Learn more about simplification here-
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