Question

5. Simplify:
(1) – 3y(4y + 3x) + 2x(x2 - y2)​

Answer 1

Answer:

-3y(4y+3x)+2x(x²-y²)

-3y(4y+3x)+2x(x²-y²)=-12y²-9xy+2x³-2xy²

Step-by-step explanation:

-3y(4y+3x)+2x(x²-y²)

= -3y×4y+(-3y)(3x)+2x×x²-2x×y²

= -12y²-9xy+2x³-2xy²

Therefore,

-3y(4y+3x)+2x(x²-y²)

=-12y²-9xy+2x³-2xy²

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Answer 2

Given :

$-12y^2-9xy+2x^3-2xy^2$

To find :

Simplify

Solution:

Given :$-3y(4y + 3x) + 2x(x^2- y^2)$

Now simplify it

$-3y(4y + 3x) + 2x(x^2- y^2)$

$(-3y \times 4y)+(-3y \times 3x)+2x(x^2- y^2)$

$-12y^2-9xy+(2x \times x^2)-(2x \times y^2)$

$-12y^2-9xy+2x^3-2xy^2$

So, Simplified expression is$-12y^2-9xy+2x^3-2xy^2$

Hence The simplified fraction of $-3y(4y + 3x) + 2x(x^2- y^2)$ is $-12y^2-9xy+2x^3-2xy^2$