Factor the following polynomial expressions:

1.

x² + 4x

(x+4)(x+4)

x(x-4)

x(x+4)

x²(x+4)




2.

6x + 36

x+6

(x+6)²

x(x+6)

6(x+6)




3.

2x⁴ - 8x²

2x(x-2)(x+2)

2x²(x²-2)

2x²(x²+2)

2x²(x-2)(x+2)




4.

x²y² +2xy²+3x²y

xy(xy+2y+3)

xy(xy+2y+3x)

xy(xy+y+3x)

xy(xy+2+3x)




5.

x^m - xⁿ for any natural numbers m > n.

x^m(x^m-n - 1)

xⁿ(x^m-n - 1)

xⁿ(x^m - 1)

x(x^m-n - 1)



6.

a² - ab + a - b

(a + 1)(a + b)

(a - 1)(a - b)

(a + b)(a - b)

(a + 1)(a - b)



7.


a² + 4ab + 4b²



(a + 2b)²

(a + b)²

(a+2b)(a + b)

a(a+2b)






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