Question

Product of (x+2)(x²-2x+4) is
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Answer 1

Answer:

✅Here's your answer

$x( {x}^{2} - 2x + 4) + 2( {x}^{2} - 2x + 4) \\ \\ = {x}^{3} - 2 {x}^{2} + 4x + 2 {x}^{2} - 4x + 8 \\ \\ = {x}^{3} + 8$

Hope it helps ✌

Answer 2

Product of (x+2)(x²-2x+4) is x³ + 8

Given : (x+2)(x²-2x+4)

To find : The product

Formula :

$\sf {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(x+2)(x²-2x+4)

Step 2 of 2 :

Find the product

We use the identity

$\sf {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )$

Thus we get

$\sf (x + 2)( {x}^{2} - 2x + 4)$

$\sf = (x + 2)( {x}^{2} - x.2 + {2}^{2} )$

$\sf = {x}^{3} + {2}^{3}$

$\sf = {x}^{3} + 8$

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