Question

efetue a fatoração;

Com cálculo e sem gracinhas por favor

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
i) m² + 2mn + m²
j) 36x² - 4y²​

Answer 1

Explicação passo-a-passo:

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

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

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

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

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

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

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

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

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

$i)m {}^{2} + 2mn + n {}^{2} = (m + n) {}^{2}$

$j)36x {}^{2} - 4y {}^{2} = (6x + 2y).(6x - 2y)$