Question

Factorise a cube minus 2 root 2 b cube

Answer 1

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Answer:

Answer 2

$(a-\sqrt{2}b)$ and $(a^2+\sqrt{2}ab+2b^2)$ are the factor of the provided expression.

Step-by-step explanation:

Consider the provided expression.

$(a)^3 - (2\sqrt{2}b^3)$

The above expression can be written as:

$(a)^3 - (\sqrt{2\times 2\times2}b^3)$

$(a)^3 - (\sqrt{2^3}b^3)$

$(a)^3 - (\sqrt{2}b)^3$

Use the formula: $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$

$(a-\sqrt{2}b)(a^2+ab\sqrt{2}+(\sqrt{2}b)^2$

$(a-\sqrt{2}b)(a^2+ab\sqrt{2}+2b^2)$

$(a-\sqrt{2}b)(a^2+\sqrt{2}ab+2b^2)$

Hence, $(a-\sqrt{2}b)$ and $(a^2+\sqrt{2}ab+2b^2)$ are the factor of the provided expression.

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Factorise

a^3+b^3+a+b