Math, asked by Sohamshaw200600, 1 month ago

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

Answered by ItzAshi
165

Step-by-step explanation:

{\large{\mathfrak{\underline{\pink{Required  \: Answer :}}}}} \\

{\bold{\mathrm{:  \: ⟹  \:  \:  \:  \:  \: x⁴  \: +  \: 18x³ \:  +  \: 99x²  \: +  \: 162x  \: +  \: 56}}} \\

{\Large{\mathbf{\underline{\orange{Question :-}}}}} \\

Let's resolve into factors :

x(x + 3)(x + 6)(x + 9) + 56

 \\ {\Large{\mathbf{\underline{\orange{Solution :-}}}}} \\

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

Answered by Anonymous
29

Answer:

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Step-by-step explanation:

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