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.
Multiply: 3x4(4x4 − x5 + 2) Answer: -3x9 + 12x8 + 6x4 Explanation: The multiplication of 3x4 with the expression (4x4 - x5 + 2) results in -3x9 + 12x8 + 6x4 after applying the distributive property of multiplication.