Let's resolve into factors
x(x+3)(x+6)(x+9)+56
how to do this please solve and step by step explanation.
Answers
Step-by-step explanation:
Let's resolve into factors :
x(x + 3)(x + 6)(x + 9) + 56
Given :
x(x + 3)(x + 6)(x + 9) + 56
Let's factorise :
➠(x + 6)(x + 9) • x² + 3x(x + 6)(x + 9) + 56
➠ (x + 9) • x³ + 6(x + 9) • x² + 3x(x + 6)(x + 9) + 56
➠ x⁴ + 9x³ + 6(x + 9) • x² + 3x(x + 6)(x + 9) + 56
➠ x⁴ + 9x³ + 6x³ + 54x² + 3x(x + 6)(x + 9) + 56
➠ x⁴ + 15x³ + 54x² + 3x(x + 6)(x + 9) + 56
➠ x⁴ + 15x³ + 54x² + 3(x + 9) • x² + 18x(x + 9) + 56
➠ x⁴ + 15x³ + 54x² + 3x³ + 27x² + 18x(x + 9) + 56
➠ x⁴ + 15x³ + 54x² + 3x³ + 27x² + 18x² + 162x + 56
➠ x⁴ + 15x³ + 54x² + 3x³ + 45x² + 162x + 56
➠ x⁴ + 18x³ + 54x² + 45x² + 162x + 56
➠ x⁴ + 18x³ + 99x² + 162x + 56
Answer:
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Step-by-step explanation:
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