1
Question
factorise
0.729a3+0.343b3
factorise
0.729a3+0.343b3
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Solution
0.729a^3 + 0.343b^3
= (0.9a)^3 + (0.7b)^3
(0.9a+0.7b)[ (0.9a)^2 -(0.9a)(0.7b) + (0.7b)^2]
(0.9a+0.7b)[ 0.81a^2 -0.63ab + 0.49b^2]
Formula used : a^3 + b^3 = (a+b)(a^2 -ab + b^2)
= (0.9a)^3 + (0.7b)^3
(0.9a+0.7b)[ (0.9a)^2 -(0.9a)(0.7b) + (0.7b)^2]
(0.9a+0.7b)[ 0.81a^2 -0.63ab + 0.49b^2]
Formula used : a^3 + b^3 = (a+b)(a^2 -ab + b^2)
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