(x+5)(√ 1-x) what is the product of this composite function?

Question

(x+5)(√ 1-x)
what is the product of this composite function?

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Thiên Hương 1 year 2021-08-18T17:40:44+00:00 1 Answers 0 views 0

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    2021-08-18T17:41:52+00:00

    Answer:

    [tex]x\sqrt{1-x}+5\sqrt{1-x}[/tex]

    Step-by-step explanation:

    [tex](x+5)(\sqrt{1-x} )\\\\=\left(\sqrt{1-x}\right)\left(x+5\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\\\a=\left(\sqrt{1-x}\right),\:b=x,\:c=5\\\\=\left(\sqrt{1-x}\right)x+\left(\sqrt{1-x}\right)\times\:5\\\\=x\left(\sqrt{1-x}\right)+5\left(\sqrt{1-x}\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=x\sqrt{1-x}+5\sqrt{1-x}[/tex]

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