Math, asked by deeksharavi, 4 months ago

Resolve into factors:
6x^3 – 24xy^2– 3x²y + 12y^3​

Answers

Answered by Ajin1438
1

Answer:

Step-by-step explanation:

6x³-24xy²-3x²y+12y³

The terms-6x²,-24xy²,-3x²y,12y³

Now let us factorise them: 6x³ = 2 × 3 × x × x × x

-24xy² = -(2×2×2×3)(x×y×y)

-3x²y = -3 (x × x × y)

12y³ = 2 × 2 ×3 (y × y × y)

So,

The question can be said in the form:

2×3×x×x×x-2×2×2×3×x×y×y-3×x×x×y+2×2×3×y×y×y

= (2×3×x³) -

(2³×3×x×y²) -(3×x²×y)+(2²×3×y³)

=2^-2×y⁴

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Thanks.

Hope it helps.

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Please let me know if I'm wrong.

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