Question

fatore as expressões algébricas
​

Answer 1

Resposta passo a passo:

a) 3x + 3y =

3.(x + y)

b) 5x² - 10x =

5.x.x - 2.5.x =

5x.(x - 2)

c) x² + 13x =

x.x + 13x =

x.(x + 13)

d) 15x² - 21x =

5.3.x.x - 7.3.x =

3x.(5x - 7)

e) 14x² + 42x =

14.x.x + 3.14.x =

14x.(x + 3)

f ) a² - 12a + 36 =

a² - 2.a.6 + 6² =

(a - 6)²

g) m² - 14m + 49 =

m² - 2.m.7 + 7² =

(m - 7)²

h) a² + 2a + 1 =

a² + 2.a.1 + 1² =

(a + 1)²

i ) x² + 20x + 100 =

x² + 2.x.10 + 10² =

(x + 10)²

j ) 4 + 12x + 9x² =

3²x² + 2.3.x.2 + 2² =

(3x)² + 2.3.x.2 + 2² =

(3x + 2)²

k) 4a² - 25 =

2²a² - 5² =

(2a)² - 5² =

(2a + 5).(2a - 5)

l ) 9a² - 36 =

9.a² - 9.4 =

9.(a² - 4) =

9.(a² - 2²) =

9.(a + 2).(a - 2)

m) 25 - 49x² =

5² - 7²x² =

5² - (7x)² =

(5 + 7x).(5 - 7x)

n ) x² - 121 =

x² - 11² =

(x + 11).(x - 11)

o ) x² - 6x - 16 =

(x² + 2x) + (- 8x - 16) =

(x.x + 2.x) + (- 8.x - 8.2) =

x.(x + 2) + (- 8).(x + 2) =

(x + 2).(x - 8)

p) x² + 10x + 21 =

(x² + 3x) + (7x + 21) =

(x.x + 3.x) + (7x + 3.7) =

x.(x + 3) + 7.(x + 3) =

(x + 3).(x + 7)