The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
What is vertical method to multiply?
The vertical method to multiply is one of the simple method to perform multiplication operation.
In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.
The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.
[tex]4a^3+3a^2-2a+1[/tex]
X [tex]a^2-2a+3[/tex]
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+ [tex]12a^2+9a^3-6a+3[/tex]
[tex]-8a^4-6a^3+4a^2-2a[/tex]
[tex]4a^5+3a^4-2a^3+a^2[/tex]
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[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]
This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,
[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]
Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
Learn more about the vertical method to multiply here:
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