Question

simply (x-6) (x4) (x+2) ​

Answer 1

Solution :-

First, we'll evaluate (x - 6) (x - 4)

⇒ (x - 6) (x - 4)     ...(Apply the distributive property)

                                     {a(b + c)=ab + ac}

⇒ x(x - 4) - 6(x - 4)

⇒x⋅x + x(-4) - 6(x) + (-4)(-6)    ...(Apply the distributive property)

⇒ x² - 4x - 6x +24

⇒ x² - 10x +24

Now, we need to multiply x² - 10x +24 with x + 2

• Expand (x² - 10x +24) (x + 2) by multiplying each term in the first expression by each term in the second expression.

⇒ (x + 2) (x² - 10x +24)

⇒ x(x² - 10x +24) + 2(x² - 10x +24)

⇒ x³ - 10x² + 24x +2x² - 20x +48

⇒ x³ - 8x² + 4x + 48

Final Answer :-

x³ - 8x² + 4x + 48

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