Question

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Answer 1

1)

a)

$( {3x})^{2} - ( {2})^{2} = 9 {x}^{2} - 4$

b)

${(5)}^{2} - {(2x)}^{2} = 25 - 4 {x}^{2}$

c)

${(x)}^{2} - {(4)}^{2} = {x}^{2} - 16$

2)

$a) \: \: \: \: \: \: \: \: 5 {x}^{2} ( - 3 {x}^{3} + 2x + 4) \\ b) \: \: \: x(6 {x}^{3} + 14 {x}^{2} - x + 7) \\ c) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9(2 {x}^{6} + {x}^{4} - 3) \\ d) \: \: - 12 {x}^{4} (1 + 2 {x}^{2} + 5 {x}^{3} )$

3)

a)

$15x + 3 + 2 {x}^{4} + {x}^{2} + 3 {x}^{3} - 8 {x}^{3} - 4x - 12 {x}^{2} = \\ 2 {x}^{4} - 5 {x}^{3} - 11 {x}^{2} + 11x + 3$

b)

$(9 - {x}^{2} )x - (5 {x}^{3} - 3 {x}^{2} - x) + (12 {x}- 4) = \\ 9x - {x}^{3} - 5 {x}^{3} + 3 {x}^{2} + x + 12 {x} - 4 = \\ - 6 {x}^{3} + 3 {x}^{2} + 22x - 4$