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Factorisation by Regrouping Terms

Factorise: 2x...

Question

Factorise:
$(2 x - 3)^{2} - 8 x + 12$

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Solution

(2x – 3)² – 8x + 12

(2x – 3)² – 8x + 12

= (2x – 3)² – 4 (2x – 3)

= (2x – 3) (2x – 3 – 4)

= (2x – 3) (2x – 7)

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Similar questions

Factorise: (2x-3)^2-8x+12

Q. Express in standard form

(2 x - 3)^{2} - 8 x + 12

8 x^{3} - 27 y^{3} - 2 x + 3 y :

(2 x + 3)^{2} + (2 x - 3)^{2} = (8 x + 6) (x - 1) + 22

x^{2} + 8 x + 16

.

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