llKuhull llKuhull
  • 13-12-2021
  • Mathematics
contestada

Factorise the following expressions.
a² + 8a + 16​​

Respuesta :

sethrollins13
sethrollins13 sethrollins13
  • 13-12-2021

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.

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