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-2a^2b.4.a^5.b^2



-8.(a^2+5)(b^1+2)



-8.a^7.b^3

Answer:

The correct option is A) [tex]-8a^{7}b^{3}[/tex].

Step-by-step explanation:

Consider the provided expression.

[tex](-2a^2b) \cdot (4a^5b^2)[/tex]

Now open the parentheses.

[tex](-2\times4)(a^2\times a^5)(b\times b^2)[/tex]

Now, use the product rule: [tex]a^m \cdot a^n= a^{m+n}[/tex]

[tex](-8)(a^{2+5})(b^{1+2})[/tex]

[tex](-8)(a^{7})(b^{3})[/tex]

[tex]-8a^{7}b^{3}[/tex]

Hence the simplified form of the provided expression is [tex]-8a^{7}b^{3}[/tex].

Therefore, the correct option is A) [tex]-8a^{7}b^{3}[/tex].

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