Greene Cox
05/04/2024 · Primary School
1. Evaluate 2. Find the product \( \left(3 x^{2}+5 x-3\right)\left(3 x^{2}+5 x\right) \)
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Step-by-step Solution
Expand the expression \( (3x^2+5x-3)(3x^2+5x) \)
Simplify the expression by following steps:
- step0: Multiply the terms:
\(\left(3x^{2}+5x-3\right)\left(3x^{2}+5x\right)\)
- step1: Apply the distributive property:
\(3x^{2}\times 3x^{2}+3x^{2}\times 5x+5x\times 3x^{2}+5x\times 5x-3\times 3x^{2}-3\times 5x\)
- step2: Multiply the terms:
\(9x^{4}+15x^{3}+15x^{3}+25x^{2}-9x^{2}-15x\)
- step3: Add the terms:
\(9x^{4}+30x^{3}+16x^{2}-15x\)
The product of \( \left(3 x^{2}+5 x-3\right)\left(3 x^{2}+5 x\right) \) is \( 9x^{4}+30x^{3}+16x^{2}-15x \).
Quick Answer
The product is \( 9x^{4}+30x^{3}+16x^{2}-15x \).
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