Question

Resolver as questoes de produtos notáveis.

a) (7x+1)² =

b) (2m+3/4)² =

(x+4)³ =

(2a+y)³ =

(x-4)³ =

Answer 1

a)
= (7x+1)²
= 49x² + 2.1.7x + 1
= 49x² + 14x + 1
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b)
= (2m+3/4)² =
= 4m² + 2. 2m.3 +   9 
                      4     16

= 4m² + 12m +  9
              4        16

= 4m² + 3m + 9
                     16

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c)
= (x + 4)³
= (x + 4)².(x + 4)
= (x² + 2.4x + 16).(x + 4)
= (x² + 8x + 16).(x + 4)
= x³ + 4x² + 8x² + 32x + 16x + 64
= x³ + 12x² + 48x + 64
===============================
d)
= (2a + y)³

= (2a + y)² . (2a + y)

= (4a² + 2.2a.y + y²).(2a + y)

= (4a² + 4ay + y²).(2a + y)

= 4a².2a + 4a².y + 4ay.2a + 4ay.y + 2a.y² + y².y

= 8a³ + 4a²y + 8a²y + 4ay² + 2ay² + y³

= 8a³ + 12a²y + 6ay² + y³
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e)
= (x - 4)³
= (x - 4)² .(x - 4)
= (x² - 2.4x + 16).(x - 4)
= (x² - 8x + 16).(x - 4)
= x³ - 4x² - 8x² + 32x + 16x - 64
= x³ - 12x² + 48x - 64