Answer :
To simplify the given polynomial expression, we need to combine like terms. Like terms are terms that have the same variable raised to the same power.
In the given polynomial expression:
[tex]\[ 19x^3 + 24x^3 \][/tex]
Both terms are like terms because they both involve [tex]\( x^3 \)[/tex]. To simplify, we add the coefficients of these terms together:
1. The coefficient of the first term, [tex]\( 19x^3 \)[/tex], is 19.
2. The coefficient of the second term, [tex]\( 24x^3 \)[/tex], is 24.
3. Add these coefficients: [tex]\( 19 + 24 = 43 \)[/tex].
The simplified form of the polynomial is:
[tex]\[ 43x^3 \][/tex]
So, the expression [tex]\( 19x^3 + 24x^3 \)[/tex] simplifies to [tex]\( 43x^3 \)[/tex].
In the given polynomial expression:
[tex]\[ 19x^3 + 24x^3 \][/tex]
Both terms are like terms because they both involve [tex]\( x^3 \)[/tex]. To simplify, we add the coefficients of these terms together:
1. The coefficient of the first term, [tex]\( 19x^3 \)[/tex], is 19.
2. The coefficient of the second term, [tex]\( 24x^3 \)[/tex], is 24.
3. Add these coefficients: [tex]\( 19 + 24 = 43 \)[/tex].
The simplified form of the polynomial is:
[tex]\[ 43x^3 \][/tex]
So, the expression [tex]\( 19x^3 + 24x^3 \)[/tex] simplifies to [tex]\( 43x^3 \)[/tex].
