Question

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1) (x+6)^2-x^2
2) (2x-6)^2-4x^2
3) (3x-1)^2-9x^2
4) (6x+2)^2-36x^2

Answer 1

1) (x+6)²-x²=x²+12x+36-x²=12x+36=12(x+3)
2) (2x-6)²-4x²=4x²-24x+36-4x²=-24x+36=36-24x=12(3-2x)
3) (3x-1)²-9x²=9x²-6x+1-9x²=-6x+1=1-6x
4) (6x+2)²-36x²=36x²+24x+4-36x²=24x+4=4(6x+1)

Answer 2

1) $(x+6)^{2} - x^{2}$=$x^{2} +12x+12- x^{2} =12x+12$=$12(x+3)$
2) $(2x-6)^{2} - 4x^{2} = 4x^{2} - 24x+36 - 4x^{2} = -24x+36$=$12(-2x+3)$
3)$(3x-1)^{2} - 9x^{2}= 9x^{2}-6x+ 1^{2} - 9x^{2} = -6x+1$
4)$(6x+2)^{2} - 36x^{2} = 36x^{2}+24x+4- 36x^{2} = 24x+4$=$4(6x+1)$