Factorise (2×2 + 5x) (2×2 + 5x – 19) + 84

(2x2 + 5x) (2x2 + 5x – 19) + 84

Answer :

(2x2 + 5x) (2x2 + 5x – 19) + 84

Let us assume, 2x2 + 5x = p

So, (p) (p – 19) + 84

p2 – 19p + 84

p2 – 12p – 7p + 84

p(p – 12) – 7(p – 12)

(p – 12) (p – 7)

Now, substitute the value of p we get,

(2x2 + 5x – 12) (2x2 + 5x – 7)

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