Question

3x⁵-48x
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Explain step by step.....
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Answer 1

Answer:-

3x(x² + 4)(x + 2)(x - 2)  

Step-by-step explanation:-

3x⁵-48x

⇒ 3x(x⁴ - 16)

⇒ 3x[(x²)² - (4)²]

⇒ 3x(x² + 4)(x² - 4)                           [by using the identity a² - b² = (a + b)(a - b)]

⇒ 3x(x² + 4)[(x)² - (2)²]

⇒ 3x(x² + 4)(x + 2)(x - 2)                  [by using the identity a² - b² = (a + b)(a - b)]

Answer⇒ 3x(x² + 4)(x + 2)(x - 2)  

More things to know:-

• (a + b)² = a² + 2ab + b²

• (a - b)² = a² - 2ab + b²

• a² - b² = (a + b)(a - b)

• (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2 ca

                         = a² + b² + c² + 2(ab + bc + ca)  

• (a + b)³ = a³ + b³ + 3ab(a + b)

                   =  a³ + b³ + 3a²b + 3ab²  

• (a - b)³ = a³ - b³ - 3ab(a - b)                    

                  = a³ - b³ - 3a²b + 3ab²    

• a³ + b³ = (a + b)(a² - ab + b²)

• a³ - b³ = (a - b)(a² + ab + b²)

• a³+b³ +c³- 3abc = (a + b + c)(a² + b² + c² - ab - bc - ca)

• (x + p)(x + q) = x² + (p + q)x + pq

I hope that this helped

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