Answer :
Answer:
Option (3) is correct.
[tex]7x^2(6x+3x^2-4)=21x^4+42x^3-28x^2[/tex]
Step-by-step explanation:
Given: expression [tex]7x^2(6x+3x^2-4)[/tex]
We have to write the correct simplification of the given expression [tex]7x^2(6x+3x^2-4)[/tex]
Consider the given expression [tex]7x^2(6x+3x^2-4)[/tex]
Multiply [tex]7x^2[/tex] with each term in brackets [tex](6x+3x^2-4)[/tex]
we get,
[tex]=7x^2\cdot \:6x+7x^2\cdot \:3x^2+7x^2\left(-4\right)[/tex]
Apply exponent rule, [tex]a^b\cdot \:a^c=a^{b+c}[/tex] and Simplify by multiply, we get,
[tex]=42x^3+21x^4-28x^2[/tex]
Thus, Rearranging in standard form, we get,
[tex]=21x^4+42x^3-28x^2[/tex]
Thus, Option (3) is correct.
7x²(6x + 3x² - 4)
7x² × 6x = 42x³
7x² × 3x² = 21x⁴
7x² × -4 = -28x²
42x³ + 21x⁴ - 28x² is the correct answer.
7x² × 6x = 42x³
7x² × 3x² = 21x⁴
7x² × -4 = -28x²
42x³ + 21x⁴ - 28x² is the correct answer.
