Factorise the following:
(a)1-16(3x+4y)^2
(b)p^4-10p^2+9
(c)pr(q-r)(q+r)-rp(p-q)(q+r)
(d)(x-1)-x(x-1)-ax+a
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Answer:
(a) 1
−
1
6
(
3
+
4
)
2
1-16\left(3x+4y\right)^{2}
1
−
1
6
(
3
+
4
)
(
3
+
4
)
(b) Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(
−
3
)
(
3
+
3
2
−
−
3
)
(d)
(x−1)−(x−1)
2
+a(x−1)
=(x−1)(1−(x−1)+a)
=(x−1)(1−x+1+a)
=(x−1)(2+a−x)
Step-by-step explanation:
(c)
Attachments:
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