Question

Factorise
x^2-12x+35

Answer 1

Answer:

x² - 12x + 35

=>x(x-12) +35

=>(x-12) (x+35)

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Answer 2

Answer:

2−12+35

Use the sum-product pattern

2−12+35

x2−12x+35x^{2}{\color{#c92786}{-12x}}+35x2−12x+35

2−5−7+35

Common factor from the two pairs

2−5−7+35

(−5)−7(−5)

Rewrite in factored form

(−5)−7(−5)

x(x−5)−7(x−5)x(x-5)-7(x-5)x(x−5)−7(x−5)

(−7)(−5)

(x−7)(x−5)(x-7)(x-5)(x−7)(x−5)

Solution

(−7)(−5)

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