Math, asked by sru8, 1 year ago

factorise 8 a cube + root 27 b cube

Answers

Answered by Anonymous
97
Hey here is your answer
I HOPE IT WILL HELP YOU
This time it was ryt ok
using formula
x3+y3 =(x+y)(x2-xy+y2)
understand
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sru8: hey thanks so much for the answer
tanya109: thanks
Answered by mysticd
6

Answer:

8a^{3}+\sqrt{27}b^{3}</p><p>=(2a+\sqrt{3}b)[4a^{2}-2\sqrt{3}ab+3b^{2}]

Step-by-step explanation:

8a^{3}+\sqrt{27}b^{3}

=(2a)^{3}+(\sqrt{3}b)^{3}

=(2a+\sqrt{3}b)[(2a)^{2}-(2a)(\sqrt{3}b)+(\sqrt{3}b)^{2}]

/* By algebraic identity:

\boxed {x^{3}+y^{3}=(x+y)(x^{2}-xy+y^{2}}*/

=(2a+\sqrt{3}b)[4a^{2}-2\sqrt{3}ab+3b^{2}]

Therefore,

8a^{3}+\sqrt{27}b^{3}</p><p>=(2a+\sqrt{3}b)[4a^{2}-2\sqrt{3}ab+3b^{2}]

•••♪

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