Factor the polynomial using the pattern.
x2 + 3x - 54

(x+9)×(x-6)

Step-by-step explanation:

1) x²+3x-54

Write 3x as a difference

x²+9x-6x-54

2) x²+9x-6x-54

Factor out x from the expression

x×(x+9)-6x-54

3) x×(x+9)-6x-54

Factor out -6 from the expression

x×(x+9)-6×(x+9)

4) x×(x+9)-6(x+9)

Factor out x + 9 from the expression

(x+9)(x-6)

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

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66answer:

step-by-step explanation: