Factorise :
50x2−2(x−2)250x^2 - 2(x - 2)^250x2−2(x−2)2
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50x2−2(x−2)2=2[25x2−(x−2)2]=2[(5x)2−(x−2)2]=2[5x−(x−2)][5x+(x−2)]=2(5x−x+2)(5x+x−2)=2(4x+2)(6x−2)=8(2x+1)(3x−1)50x^2 - 2(x - 2)^2\\[1em] = 2[25x^2 - (x - 2)^2]\\[1em] = 2[(5x)^2 - (x - 2)^2]\\[1em] = 2[5x - (x - 2)][5x + (x - 2)]\\[1em] = 2(5x - x + 2)(5x + x - 2)\\[1em] = 2(4x + 2)(6x - 2)\\[1em] = 8(2x + 1)(3x - 1)50x2−2(x−2)2=2[25x2−(x−2)2]=2[(5x)2−(x−2)2]=2[5x−(x−2)][5x+(x−2)]=2(5x−x+2)(5x+x−2)=2(4x+2)(6x−2)=8(2x+1)(3x−1)
Hence, 50x2−2(x−2)2=8(2x+1)(3x−1)50x^2 - 2(x - 2)^2 = 8(2x + 1)(3x - 1)50x2−2(x−2)2=8(2x+1)(3x−1).
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Factorise:
72x2−10x−427\sqrt{2}x^2 - 10x - 4\sqrt{2}72x2−10x−42.
(a2+3a−5)(a2+3a+2)+6(a^2 + 3a - 5) (a^2 + 3a + 2) + 6(a2+3a−5)(a2+3a+2)+6
By factorising x2 - 22x + 117, evaluate:
(x2 - 22x + 117) ÷ (x - 13).
Evaluate :
(a - b)3 + (b - c)3 + (c - a)3 by writing answer in factors form.
