Question

efetue a fatoração

a) mx + my - mz

b) 5ab + ac + 5bd + cd

c) a⁴ - 49 d) a⁵ - a⁴ + a²

e) a² - 20a + 100

f) x² + 12x + 36

g) ax + bx + ay + by + az + bz

H) x²y - xy² ​

Answer 1

Explicação passo-a-passo:

$a)mx + my - mz = m.(x + y - z)$

$b)5ab + ac + 5bd + cd = a.(5b + c) + d.(5b + c) = (5b + c).(a + d)$

$c)a {}^{4} - 49 = (a {}^{2} + 7).(a {}^{2} - 7)$

$d)a {}^{5} - a {}^{4} + a {}^{2} = a {}^{2} .(a {}^{3} - a {}^{2} + 1)$

$e)a {}^{2} - 20a + 100 = (a - 10) {}^{2}$

$f)x {}^{2} + 12x + 36 = (x + 6) {}^{2}$

$g)ax + bx + ay + by + az + bz =$

$x.(a + b) + y.(a + b) + z(a + b) =$

$(a + b).(x + y + z)$

$h)x {}^{2} y - xy {}^{2} = xy.(x - y)$