Jawaban:
(2x - 3y)(2x + 3y)(4x² + 9y²)
Penjelasan dengan langkah-langkah:
Faktor dari = 16x^4 - 81y^4
Ingat!
a² - b² = (a - b) × (a + b)
a^mn = (a^n)^m
Sehingga
16x^4 - 81y^4 = (4².x^4 - 9².y^4) × (4².x^4 + 9².y^4)
= (4².x^2+2 - 9².y^2+2 ) × (4².x^2+2 + 9².y^2+2)
= (4².(x²)² - 9².(y²)²) × (4².(x²)² + 9².(y²)²)
= ((4x²)² - (9y²)²) × ((4x²)² + (9y²)²)
= (4x² - 9y²) × (4x² + 9y²)
= (2x - 3y)(2x + 3y)(4x² + 9y²)
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Jawaban:
(2x - 3y)(2x + 3y)(4x² + 9y²)
Penjelasan dengan langkah-langkah:
Faktor dari = 16x^4 - 81y^4
Ingat!
a² - b² = (a - b) × (a + b)
a^mn = (a^n)^m
Sehingga
16x^4 - 81y^4 = (4².x^4 - 9².y^4) × (4².x^4 + 9².y^4)
= (4².x^2+2 - 9².y^2+2 ) × (4².x^2+2 + 9².y^2+2)
= (4².(x²)² - 9².(y²)²) × (4².(x²)² + 9².(y²)²)
= ((4x²)² - (9y²)²) × ((4x²)² + (9y²)²)
= (4x² - 9y²) × (4x² + 9y²)
= (2x - 3y)(2x + 3y)(4x² + 9y²)