Answer :
The multiplication of 2x and [tex]\rm x^2+2x-6[/tex] is [tex]\rm 2x^3+4x^2-12x[/tex].
The correct option is A.
Given
Multiply 2x(x2 + 2x - 6).
What is multiplication?
Multiplication is the process of calculating the product of two or more numbers.
The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.
Then,
The multiplication of 2x and [tex]\rm x^2+2x-6[/tex] is;
[tex]\rm= 2x\times (x^2+2x-6)\\\\= 2x\times x^2+2x\times 2x+2x\times (-6)\\\\= 2x^3+4x^2-12x[/tex]
Hence, the multiplication of 2x and [tex]\rm x^2+2x-6[/tex] is [tex]\rm 2x^3+4x^2-12x[/tex].
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