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Wittaler [7]
3 years ago
5

Find the product.

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

(C) 8x^{a+b} + 4x^{a+3} - 10x^{a+1}

Step-by-step explanation:

-2x^a(-4x^b -2x^3 +5x)=-2x^a(-4x^b)-2x^a(-2x^3)-2x^a(5x)=\\\\=8x^{a+b} + 4x^{a+3} - 10x^{a+1}

murzikaleks [220]3 years ago
8 0

Answer: The correct option is

(C) 8x^{a+b}+4x^{a+3}-10x^{a+1}.

Step-by-step explanation:  We are given to find the following product :

P=-2x^a(-4x^b-2x^3+5x)~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property of exponents :

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

From (i), we get

P\\\\=-2x^a(-4x^b-2x^3+5x)\\\\=(-2x^a)\times(-4x^b)-2x^a\times(-2x^3)-2x^a\times5x\\\\=8x^{a+b}+4x^{a+3}-10x^{a+1}.

Thus, the required product is 8x^{a+b}+4x^{a+3}-10x^{a+1}.

Option (C) is CORRECT.

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