Explicación paso a paso:
trinomios cuadrados perfectos
1)
9x² + 24xy + 16y²
↓ ↓
3x 4y
= (3x+4y)²
2) 25x² - 50xy + 25y²
5x -5y
= [5(x-y)]²
3) 9m² + 48mn + 64n²
3m 8n
= (3m+8n)²
4) 81a² + 36ab + 4b²
9a 2b
= (9a+2b)²
5) 49m² - 42mn + 9n²
7m -3n
= (7m-3n)²
DIFERENCIAS DE CUADRADOS
1) 16m² - 25n² = (4m+5n)(4m-5n)
2) 36a² - b² = (6a+1)(6a-1)
3) 49x² - 64y² = (7x+8y)(7x-8y)
4) 4m² - 81n² = (2m+9n)(2m-9n)
5) a² - (ab)² = (a+ab)(a-ab)
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Verified answer
Explicación paso a paso:
trinomios cuadrados perfectos
1)
9x² + 24xy + 16y²
↓ ↓
3x 4y
3x 4y
= (3x+4y)²
2) 25x² - 50xy + 25y²
↓ ↓
5x -5y
5x -5y
= [5(x-y)]²
3) 9m² + 48mn + 64n²
↓ ↓
3m 8n
3m 8n
= (3m+8n)²
4) 81a² + 36ab + 4b²
↓ ↓
9a 2b
9a 2b
= (9a+2b)²
5) 49m² - 42mn + 9n²
↓ ↓
7m -3n
7m -3n
= (7m-3n)²
DIFERENCIAS DE CUADRADOS
1) 16m² - 25n² = (4m+5n)(4m-5n)
2) 36a² - b² = (6a+1)(6a-1)
3) 49x² - 64y² = (7x+8y)(7x-8y)
4) 4m² - 81n² = (2m+9n)(2m-9n)
5) a² - (ab)² = (a+ab)(a-ab)