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factorise: X^2 + 10x + 16

Sagot :

rasuka

Answer:

(x+2)(x+8)

Step-by-step explanation:

1.)find factors of the third expression(16)that will add up to give the second expression(10)

16=2×8. 10=2+8

2.)substitute those factors inplace of 10

[tex] {x}^{2} + 10x + 16[/tex]

[tex]x {}^{2} + 2x + 8x + 16[/tex]

3.)factorise using grouping method

[tex]( {x}^{2} + 2x) + (8x + 16)[/tex]

[tex]x(x + 2) + 8(x + 2)[/tex]

[tex] = (x + 2)(x + 8)[/tex]

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