Question

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

Answer 1

 The answer is −10d4+17d2s−6s2

Answer 2

Answer

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

To prove

As given the expression in the question is

= (-2d²+s)(5d²-6s)

$= -2d^{2}\times 5d^{2} + s\times 5d^{2} - 2d^{2}\times -6s + s\times -6s$

Now using the exponent property

$x^{a}\times x^{b} = x^{a+b}$

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 $-10d^{4} + 17sd^{2} -6s^{2}$