Question

i) 4x2 - y2=
1) 16x4 - 9 =
k) 36x2 - 4y2 =
fatore as expressões ​

Answer 1

i.

$= 4x {}^{2} - y {}^{2} \\ = 2 {}^{2} x {}^{2} - y{}^{2} \\ = (2x) {}^{2} - y {}^{2} \\ \boxed{ = (2x - y) \: . \: (2x + y)}$

l.

$= 16x {}^{4} - 9 \\ = 4 {}^{2} x {}^{2 \: . \: 2} - 3 {}^{2} \\ = 4 {}^{2} \: . \: (x {}^{2} ) {}^{2} - 3 {}^{2} \\ = (4x {}^{2} ) {}^{2} - 3 {}^{2} \\ \boxed{ = (4x {}^{2} - 3) \: . \: (4x {}^{2} + 3) }$

k.

$= 36x {}^{2} - 4y {}^{2} \\ = 4(9x {}^{2} - y {}^{2} ) \\ = 4 \: . \: 3 {}^{2} x {}^{2} - y {}^{2} \\ = 4 \: . \: (3x) {}^{2} - y {}^{2} \\ \boxed{ = 4(3x - y) \: . \: (3x + y)}$

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