Factorise x2-8 x-16A- x-8x-2B- x-2x-4C- x-4x-6D- x -4 x -4

The correct option is D (x+4)(x+4)The terms of the expression x^2 + 8x + 16 nbsp;are x^2, 8x and 16. x^2 nbsp; square whose side is x units. 8x rectang ...

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Standard X

Mathematics

Factorisation

Factorise x2+...

Question

Factorise $x^{2} + 8 x + 16$ .

(x + 8) (x + 2)

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(x + 4) (x + 6)

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(x + 2) (x + 4)

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(x + 4) (x + 4)

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Solution

The correct option is D $(x + 4) (x + 4)$
The terms of the expression $x^{2} + 8 x + 16$ are $x^{2}$ , 8x and 16.

$x^{2}$ - 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 $x^{2} + 8 x + 16 = (x + 4) (x + 4)$ .

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Factorise x2+8x+16.

The correct option is D (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).

Factorise $x^{2} + 8 x + 16$ .