$(\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}$

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The applicable rules of exponents are ...

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

√(a^2) = a . . . . . . . for a > 0

(√a)(√b) = √(ab)

5 0

2 years ago

Read 2 more answers

1. When you multiply an equation by a value, are you changing the solutions of that equation? Explain. 44 POINTS!!

jolli1 [7]

Answer: Yes. When you solve your equations, you're solutions will change a little bit. It's good because it'll give you the right answer.

I hope this helps you and I hope it's right. ☺

3 0

2 years ago

21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not dra

Alex

9514 1404 393

Answer:

x = 15

Step-by-step explanation:

Given:

∠1 + ∠2 = 90°

∠1 = 45°

∠2 = 3x°

Find:

Solution:

Using the given values in the given equation, we have ...

45° +3x° = 90°

15 + x = 30 . . . . . . divide by 3°

x = 15 . . . . . . . . . . . subtract 15

6 0

2 years ago