Question

Complete as multiplicações:

a) (m − 6) · (_________) = m2 - 36


b) (_________) · (ab + 4) = a²b²- 16


c) ( y + 12) . ( y - ____) =_____ - 144


d) (__-3y) . (____+3y) =25x⁴-_____

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Answer 1

Explicação passo-a-passo:

a) (m + 6), pois:

(m - 6) . (m + 6)

m² + 6m - 6m - 36

m² - 36

b) (ab - 4), pois

(ab - 4) . (ab + 4)

a²b² + 4ab - 4ab - 16

a²b² - 16

c) -12 e y², pois:

(y + 12) . (y - 12)

y² - 12y + 12y - 144

y² - 144

d) 5x² e - 9y², pois:

(5x² - 3y) . (5x² + 3y)

25x⁴ + 15x²y - 15x²y - 9y²

25x⁴ - 9y²

Answer 2

Oie, Td Bom?!

a)

$= (m - 6) \: . \: (m + 6)$

$= m {}^{2} - 6 {}^{2}$

$= m {}^{2} - 36$

b)

$= (ab - 4) \: . \: (ab + 4)$

$= (ab) {}^{2} - 4 {}^{2}$

$= a {}^{2} b {}^{2} - 16$

c)

$= (y + 12) \: . \: (y - 12)$

$= y {}^{2} - 12 {}^{2}$

$= y {}^{2} - 144$

d)

$= (5x {}^{2} - 3y) \: . \: (5x {}^{2} + 3y)$

$= (5x {}^{2} ) {}^{2} -(3y) {}^{2}$

$= 25x {}^{4} - 9y {}^{2}$

Att. Makaveli1996