Question

Louise completed the work shown below.

Answer 1

Answer:

Louise is missing the term $30x^3$

Step-by-step explanation:

Remember that the formula for squaring a binomial is:

$(a+b)^2=a^2+2ab+b^2$

Where

$a$ is the first term of the binomial

$b$ is the second term of the binomial

Our binomial is $(5x^3+3)^2$, so $a=5x^3$ and $b=3$.

Replacing values

$(5x^3+3)^2=(5x^3)^2+2(5x^3)(3)+3^2$

$(5x^3+3)^2=5^2x^6+6(5x^3)+9$

$(5x^3+3)^2=25x^6+30x^3+9$

Since Louise’s answer is $(5x^3+3)^2=25x^6+9$, we can conclude that she is missing the term $30x^3$