Factorise the following expression- 2x-3 - 2xy-2 - 2xz-2 - Maths Q-A

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Standard VIII

Mathematics

Factorisation by Common Factors

Factorise the...

Question

Factorise the following expression: $2 x^{3} + 2 x y^{2} + 2 x z^{2}$

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Solution

Factorise the given expression by splitting the like terms
Given, $2 x^{3} + 2 x y^{2} + 2 x z^{2}$
The like term in the expression is $2 x$
So, upon separating the like terms, the factorisation will be $2 x (x^{2} + y^{2} + z^{2})$
Hence, the factorisation of $2 x^{3} + 2 x y^{2} + 2 x z^{2}$ will be $2 x (x^{2} + y^{2} + z^{2})$ .

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Factorise the following expression: 2x3+2xy2+2xz2

Factorise the given expression by splitting the like termsGiven, 2x3+2xy2+2xz2 The like term in the expression is 2xSo, upon separating the like terms, the factorisation will be 2x(x2+y2+z2)Hence, the factorisation of 2x3+2xy2+2xz2 will be 2x(x2+y2+z2).

Factorise the following expression: $2 x^{3} + 2 x y^{2} + 2 x z^{2}$