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Factor the followig with solution:

1.) -8x²y + 16x
2.) 4x² + 6x
3.) 6x⁴ - 14x²
4.) 7a(a+3) - (a+3)


Sagot :

Answer:

Summary of Factored Forms:

1. (-8x²y + 16x = 8x(-xy + 2))

2. (4x² + 6x = 2x(2x + 3))

3.(6x⁴ - 14x² = 2x²(3x² - 7))

4. (7a(a + 3) - (a + 3) = (a + 3)(7a - 1))

Step-by-step explanation:

1) (-8x²y + 16x)

[tex]-8x²y + 16x = 8x(-x y + 2)[/tex]

Factored Form:

[tex]-8x²y + 16x = 8x(-x y + 2)[/tex]

2) (4x² + 6x)

[tex]4x² + 6x = 2x(2x + 3)[/tex]

Factored Form:

[tex]4x² + 6x = 2x(2x + 3)[/tex]

3) (6x⁴ - 14x²)

[tex]6x⁴ - 14x² = 2x²(3x² - 7)[/tex]

Factored Form:

[tex]6x⁴ - 14x² = 2x²(3x² - 7)[/tex]

4) (7a(a + 3) - (a + 3)

[tex]{7a(a + 3) - (a + 3) = (a + 3)(7a - 1)}[/tex]

Factored Form:

[tex]{7a(a + 3) - (a + 3) = (a + 3)(7a - 1)}[/tex]