factorise the following (1) 1-64a³-12a +48a²
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Answer:
1-64a^3-12a+48a^2
=(1)^3-(4a)^3-12a(1-4a)
=(1-4a){(1)^2+1*4a+(4a)^3}-12a(1-4a)
=(1-4a)(1+4a+16a^2)-12a(1-4a)
=(1-4a)(1+4a+16a^2-12a)
=(1-4a)(1-8a+16a^2)
=(1-4a){(1)^2-2.1.4a+(4a)^2}
=(1-4a)(1-4a)^2
=(1-4a)^3
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