Question

-y(3x - y)²=?????????????? ​

Answer 1

$-y\cdot\Big(3x-y\Big)^2 = -y\cdot\Big((3x)^2-2\cdot3x\cdot y+(y)^2\Big)=\\\\-y\cdot\Big(9x^2-6xy+y^2\Big)=-9x^2y+6xy^2-y^3$

Answer 2

To simplify the expression -y(3x - y)², we need to expand the square term (3x - y)².

(3x - y)² can be expanded using the formula for squaring a binomial, which is (a - b)² = a² - 2ab + b².

In this case, a = 3x and b = y, so:

(3x - y)² = (3x)² - 2(3x)(y) + (y)² = 9x² - 6xy + y²

Now, multiply the entire expression by -y:

• y(3x - y)² = -y(9x² - 6xy + y²)

The final simplified expression is -y(9x² - 6xy + y²).