Factorise by grouping method :
a2x2 + (ax2 + 1)x + a
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Given,
= a2x2 + ax3 + x + a
= a2x2 + ax3 + a + x
= ax2(a + x) + 1(a + x)
= (a + x)(ax2 + 1).
Hence, a2x2 + (ax2 + 1)x + a = (a + x)(ax2 + 1).
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ab(x2 + 1) + x(a2 + b2).
(ax + by)2 + (bx - ay)2
y2 - (a + b)y + ab
x2 + 2(5x + 12) in the form of factors is :
(x - 6)(x + 4)
(x - 6)(x - 4)
(x + 6)(x + 4)
(x + 6)(x - 4)