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Question

Factorise x2+8x+16.

A
(x+4)(x+4)
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B
(x+2)(x+4)
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C
(x+4)(x+6)
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D
(x+8)(x+2)
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Solution

The correct option is A (x+4)(x+4)
The terms of the expression x2+8x+16 are x2, 8x and 16.

x2 - square whose side is x units.
8x - rectangle with sides 8 units and x units.
16 - square of side 4 units.


From the above, we can see that x2+8x+16=(x+4)(x+4).

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