Question

03 – Fatore.

a) x² - 36

b) 25 – a²

c) 9x² - 16

d) 1 – 81a²

e) 100 – π²

f) 36x⁴-y⁶

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Answer 1

Explicação passo-a-passo:

Lembre-se que:

$a^2-b^2=(a-b)\cdot(a+b)$

Assim:

a) $x^2-36=x^2-6^2$

$x^2-36=(x-6)\cdot(x+6)$

b) $25-a^2=5^2-a^2$

$25-a^2=(5-a)\cdot(5+a)$

c) $9x^2-16=(3x)^2-4^2$

$9x^2-16=(3x-4)\cdot(3x+4)$

d) $1-81a^2=1^2-(9a)^2$

$1-81a^2=(1-9a)\cdot(1+9a)$

e) $100-\pi^2=10^2-\pi^2$

$100-\pi=(10-\pi)\cdot(10+\pi)$

f) $36x^4-y^6=(6x)^2-(y^3)^2$

$36x^4-y^6=(6x-y^3)\cdot(6x+y^3)$