Question

question
distribute $3x(4 - 3x)$.
answer attempt 1 out of 2

Explanation:

Step1: Apply distributive property

The distributive property states that \( a(b + c)=ab+ac \). Here, \( a = 3x \), \( b = 4 \) and \( c=- 3x \). So we distribute \( 3x \) to both terms inside the parentheses:
\( 3x\times4+3x\times(- 3x) \)

Step2: Simplify each term

Simplify \( 3x\times4 \) to get \( 12x \), and simplify \( 3x\times(-3x) \) using the rule of exponents \( x^m\times x^n=x^{m + n} \). So \( 3x\times(-3x)=-9x^{1 + 1}=-9x^{2} \)
Combining these two terms, we get \( 12x-9x^{2} \)

Answer:

\( 12x - 9x^{2} \)