Garrett Stewart
09/05/2024 · Primary School
Question 11 Multiply the binomials and simplify. \( (2 x+1)(4 x-5)=\square \)
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Tutor-Verified Answer
Step-by-step Solution
Calculate or simplify the expression \( (2*x+1)*(4*x-5) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(2x+1\right)\left(4x-5\right)\)
- step1: Apply the distributive property:
\(2x\times 4x-2x\times 5+1\times 4x-1\times 5\)
- step2: Multiply the terms:
\(8x^{2}-10x+4x-5\)
- step3: Add the terms:
\(8x^{2}-6x-5\)
The product of the binomials \( (2x+1) \) and \( (4x-5) \) is \( 8x^{2}-6x-5 \).
Quick Answer
\( 8x^{2}-6x-5 \)
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