Question

Simplify the expression completely if
possible.
2x³+4x²
x² - 81

Answer 1

2x³+4x² = 2x²(x + 2)

x² - 81 = (x - 9)(x + 9)

Step-by-step Step-by-step explanation:

Simplify the expression completely if

possible.

(i) 2x³+4x²

`\rightarrow{\sf{ 2{x}^(3) + 4{x}^(2)}}`

`\rightarrow{\sf{ 2({x}^(3) + 2{x}^(2))}}`

`\rightarrow{\sf{ 2{x}^(2) (x + 2)}}`

`\star{\underline{\boxed{\sf{\purple{ 2{x}^(2) (x + 2)}}}}}`

`\begin{gathered}\end{gathered}`

(ii) x² - 81

`\leadsto{\sf{{x}^(2) - 81}}`

Using identity a² - b² = (a - b)(a + )

`\leadsto{\sf{{x}^(2) - {9}^(2)}}`

`\leadsto{\sf{(x - 9)(x + 9)}}`

`\star{\underline{\boxed{\sf{\pink{(x - 9)(x + 9)}}}}}`

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