Factorise- 3-2-3-10-3-2-6-2-2-

3𝑥^2𝑦^3+10𝑥^3𝑦^2+6𝑥^2𝑦^2𝑧 3𝑥^2𝑦^3 = 3 × x × x × y × y × y 10𝑥^3𝑦^2 = 2 × 5 × x × x × x × y × y 6𝑥^2𝑦^2𝑧 = 2 × 3 × x × x × y × y × z A common factor among the ...

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Byju's Answer

Standard VIII

Mathematics

Factorisation by Regrouping Terms

Factorise: 3�...

Question

Factorise: $3 x^{2} y^{3} + 10 x^{3} y^{2} + 6 x^{2} y^{2} z$

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Solution

$3 x^{2} y^{3} + 10 x^{3} y^{2} + 6 x^{2} y^{2} z$

$3 x^{2} y^{3} = 3 \times x \times x \times y \times y \times y$
$10 x^{3} y^{2} = 2 \times 5 \times x \times x \times x \times y \times y$
$6 x^{2} y^{2} z = 2 \times 3 \times x \times x \times y \times y \times z$

A common factor among the terms $= x \times x \times y \times y = x^{2} y^{2}$
$3 x^{2} y^{3} + 10 x^{3} y^{2} + 6 x^{2} y^{2} z = x^{2} y^{2} (3 y + 10 x + 6 z)$

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Factorise: 3x2y3+10x3y2+6x2y2z

3x2y3+10x3y2+6x2y2z 3x2y3=3×x×x×y×y×y 10x3y2=2×5×x×x×x×y×y 6x2y2z=2×3×x×x×y×y×z A common factor among the terms =x×x×y×y=x2y2 3x2y3+10x3y2+6x2y2z=x2y2(3y+10x+6z)

Factorise: $3 x^{2} y^{3} + 10 x^{3} y^{2} + 6 x^{2} y^{2} z$