Question

TOLONG DIJAWAB PAKAI CARA!!!

Faktorkanlah bentuk bentuk aljabar berikut dengan lengkap!

1}. 2m⁴-32n⁴
2}. 80-5p⁴
3}. 48p-3q⁴
4}. (m+n)²-4
5}. (x-y)²-1
6}. 4a²-(b-c)²
7}. 25m²-9(n+p)²
8}. (p+q)²-(p-q)²
9}. 4(x-y)²-(x+y)²
10}.16x²-36y²

Answer 1

1}. 2m⁴-32n⁴ = 2 (m² + n²) (m² - n²)

2}. 80-5p⁴ = 5 (16 - p⁴) = 5 (4 + p²) (4 - p²)

3}. 48p-3q⁴ = 3 (16 - q⁴) = 3 (4 + q²) (4 - q²)

4}. (m+n)²-4 = (m + n + 2) (m + n - 2)

5}. (x-y)²-1 = (x - y + 1) (x - y - 1)

6}. 4a²-(b-c)² = (2a + b - c) (2a - b + c)

7}. 25m²-9(n+p)² = [5m + 3(n + p)] [5m - 3(n + p)]
= (5m + 3n + 3p) (5m -3n - 3p)

8}. (p+q)²-(p-q)² = [p + q + p - q] [p + q - p + q]
= (2p) (2q)

9}. 4(x-y)²-(x+y)² = [2(x-y) + x + y] [2(x-y) - (x + y)]
= (2x - 2y + x + y) (2x - 2y - x - y) = (3x - y)(x - 3y)

10}.16x²-36y² = 4 (2x + 3y) (2x - 3y)