Question

Faktorkanlah:
1.a^4 - 16
2.(m-n)^2 - 1
3.(a+b)^2 - (a-b)^2
4.p^2 - (q+r)^2

Answer 1

1) a^4 - 16 = (a² + 4)(a² - 4) = (a² + 4)(a + 2)(a - 2)

untuk nomer 2 - 4, gunakan difference square formula :
x² - y² = (x + y)(x - y)

2) (m-n)² - 1 = (m-n+1)(m-n+1)

3) (a+b)² - (a-b)² = (a+b+a-b)(a+b-(a-b)) = 2a (2b) = 4ab

4) p² - (q+r)² = (p + q + r)(p - (q+r)) = (p + q + r)(p - q - r)