2. Factorise the following (i) x2 - 36 (ii) 49x² – 25y2 (iv) 81-64x² (v) x+y? – 64 (vii) x²-81 (viii) 2x – 32 x5 (x) (p? - 2pq+07) - p (xi) (x + y)2 – (x - y)? ? (iii) m² - 121 (vi) 6x? – 54 (ix) 81x4 - 121x² (x) (p²-2pq+q²)-r² (xi) (x+y)-(x-y)²
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Answer:
ab(x
2
+y
2
)−xy(a
2
+b
2
)
⇒ abx
2
+aby
2
−a
2
xy−b
2
xy
⇒ abx
2
+b
2
xy+aby
2
−a
2
xy
⇒ bx(ax−by)−ay(ax−by)
⇒ (ax−by)(bx−ay)
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