Solving Algebraic Expression with Multiplication

Multiply: 3x4(4x4 − x5 + 2)

For the algebraic expression 3x4(4x4 − x5 + 2), we need to apply the distributive property of multiplication over addition and subtraction.

We are given 3x4 as the coefficient and (4x4 − x5 + 2) as the expression inside the parentheses. Multiplying each term inside the parentheses by 3x4, we get:

=(3x4)(4x4) + (3x4)(-x5) + (3x4)(2)

= 12x8 - 3x9 + 6x4

Therefore, the resultant expression after multiplication is -3x9 + 12x8 + 6x4.