Question

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Answer 1

Explicación paso a paso:

1.-

4x²-1/36

1/36×(144x²-1)

=1/36×(12x-1)(12x+1)

2.-

36x²+36x+9

9(4x²+4x+1)

=9(2x+1)²

3.-

9x²-42x-√2x

9x²-42x-√2√x

9x²-42x-√2x½

=x½×(9x³/²-42x½-√2)

4.-

9x²/4-25

3²x²/2²-5²

(3x)²/2²-5²

(3x/2)²-5²

=(3x/2-5)×(3x/2+5)

5.-

2/x+x+1/x²-1/2x

4x+2(x+1)-x/2x²

4x+2x+2-x/2x²

=5x+2/2x²

6.-

√2x²+49

√x√2+49

x√2+49

=√2x+49

7.-

-1/x²+5/x-2/3x

-3x+15x-2x/3x²

=-3+13x/3x²

8.-

3(a-6)/6a²×2a/(a-6)

1/2a×2

=1/a

9.-

(x+6)×(x-6)-(x-6)²

(x-6)(x+6-(x-6))

(x-6)(x+6-x+6)

(x-6)×12

=12(x-6)

10.-

√x²+x²

√2x²

=√2x