Question

What is the product (-2d^2+s)(5d^2-6s)

Answer 1

Find out the product of the (-2d²+s)(5d²-6s) .

To prove

As given the expression in the question is

= (-2d²+s)(5d²-6s)

`= -2d^(2)* 5d^(2) + s* 5d^(2) - 2d^(2)* -6s + s* -6s`

Now using the exponent property

`x^(a)* x^(b) = x^(a+b)`

Simplify the above

`= -10d^(2 +2) + 5sd^(2) +12sd^(2) -6s^(2)`

`= -10d^(4) + 5sd^(2) +12sd^(2) -6s^(2)`

`= -10d^(4) + 17sd^(2) -6s^(2)`

Therefore the product of (-2d²+s)(5d²-6s) is
`-10d^(4) + 17sd^(2) -6s^(2)`

Answer 2

The answer is −10d4+17d2s−6s2