Question

Help me find the Simplified product ? Math

Answer 1

Answer: Fourth option
`10x^(4)√(6)+x^(3)√(30x) -10x^(4)√(3)-x^(3)√(15x)`

Explanation:

First we open the bracket and then simplify the products in the given question.

Now we start the question.

⇒
`2\sqrt{10x^(4)(15x^(4))}-2x\sqrt{5x^(2)(15x^(4))} +\sqrt{10x^(4)(3x^(3)) } -x\sqrt{5x^(2)(3x^(3))}`

⇒
`2\sqrt{150x^(8) }-2x\sqrt{75x^(6) }+\sqrt{30x^(7) } -x\sqrt{15x^(5) }`

⇒
`2x^(4)√(150)-2x^(4) √(75)+x^(3)√(30x) -x^(3)√(15x)`

⇒
`2(x^(4))5√(6)-2(x^(4))5√(3)+x^(3)√(30x) -x^(3)√(15x)`

⇒
`10x^(4)√(6)+x^(3)√(30x) -10x^(4)√(3)-x^(3)√(15x)`