Math, asked by Sohamshaw200600, 5 hours 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:

plz mark the upper answer as brainliest

Step-by-step explanation:

Deforestation refers to the decrease in forest areas across the world that are lost for other uses such as agricultural croplands, urbanization, or mining activities. Greatly accelerated by human activities since 1960, deforestation has been negatively affecting natural ecosystems, biodiversity, and the climate

Similar questions