Question

7. On dividing x(4x2 - 16) by 4x(x – 2), we get x+2​

Answer 1

Answer:

$\frac{x(4x^{2}-16)}{4x(x-2)}=x+2$

Step-by-step explanation:

$\frac{x(4x^{2}-16)}{4x(x-2)}\\=\frac{4x(x^{2}-4)}{4x(x-2)}\\=\frac{(x^{2}-2^{2})}{(x-2)}\\=\frac{(x+2)(x-2)}{(x-2)}\\=x+2$

Therefore,

$\frac{x(4x^{2}-16)}{4x(x-2)}=x+2$

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