14) \( 4 x^{2}+13 x+3 \) 16) \( 4 x^{2}+\pi-3 \) 181 \( 3 x^{2}-4 x-4 \) 20) \( 2 x^{2}-5 x-3 \) 22) \( 7 a^{2}-11 a+4 \) 24) \( 24 x^{2}-30 a+9 \) 26) \( 2 x^{3} y+12 x^{2} y+18 x y \) 28) \( 2 x^{2}+8 x+6 \) 30) \( 24 x^{2} 2-52 x y+8 y^{2} 2 \) 32) \( 3 x^{2}+13 u y-10 y^{2} \)

Factor the expression by following steps: - step0: Factor: \(7a^{2}-11a+4\) - step1: Rewrite the expression: \(7a^{2}+\left(-4-7\right)a+4\) - step2: Calculate: \(7a^{2}-4a-7a+4\) - step3: Rewrite the expression: \(a\times 7a-a\times 4-7a+4\) - step4: Factor the expression: \(a\left(7a-4\right)-\left(7a-4\right)\) - step5: Factor the expression: \(\left(a-1\right)\left(7a-4\right)\) Factor the expression \( 2 x^{3} y+12 x^{2} y+18 x y \). Factor the expression by following steps: - step0: Factor: \(2x^{3}y+12x^{2}y+18xy\) - step1: Rewrite the expression: \(2xyx^{2}+2xy\times 6x+2xy\times 9\) - step2: Factor the expression: \(2xy\left(x^{2}+6x+9\right)\) - step3: Factor the expression: \(2xy\left(x+3\right)^{2}\) Factor the expression \( 24 x^{2}-30 a+9 \). Factor the expression by following steps: - step0: Factor: \(24x^{2}-30a+9\) - step1: Factor the expression: \(3\left(8x^{2}-10a+3\right)\) Factor the expression \( 4 x^{2}+13 x+3 \). Factor the expression by following steps: - step0: Factor: \(4x^{2}+13x+3\) - step1: Rewrite the expression: \(4x^{2}+\left(1+12\right)x+3\) - step2: Calculate: \(4x^{2}+x+12x+3\) - step3: Rewrite the expression: \(x\times 4x+x+3\times 4x+3\) - step4: Factor the expression: \(x\left(4x+1\right)+3\left(4x+1\right)\) - step5: Factor the expression: \(\left(x+3\right)\left(4x+1\right)\) Factor the expression \( 3 x^{2}-4 x-4 \). Factor the expression by following steps: - step0: Factor: \(3x^{2}-4x-4\) - step1: Rewrite the expression: \(3x^{2}+\left(2-6\right)x-4\) - step2: Calculate: \(3x^{2}+2x-6x-4\) - step3: Rewrite the expression: \(x\times 3x+x\times 2-2\times 3x-2\times 2\) - step4: Factor the expression: \(x\left(3x+2\right)-2\left(3x+2\right)\) - step5: Factor the expression: \(\left(x-2\right)\left(3x+2\right)\) Factor the expression \( 2 x^{2}+8 x+6 \). Factor the expression by following steps: - step0: Factor: \(2x^{2}+8x+6\) - step1: Rewrite the expression: \(2x^{2}+2\times 4x+2\times 3\) - step2: Factor the expression: \(2\left(x^{2}+4x+3\right)\) - step3: Factor the expression: \(2\left(x+1\right)\left(x+3\right)\) Factor the expression \( 2 x^{2}-5 x-3 \). Factor the expression by following steps: - step0: Factor: \(2x^{2}-5x-3\) - step1: Rewrite the expression: \(2x^{2}+\left(1-6\right)x-3\) - step2: Calculate: \(2x^{2}+x-6x-3\) - step3: Rewrite the expression: \(x\times 2x+x-3\times 2x-3\) - step4: Factor the expression: \(x\left(2x+1\right)-3\left(2x+1\right)\) - step5: Factor the expression: \(\left(x-3\right)\left(2x+1\right)\) Factor the expression \( 24 x^{2} 2-52 x y+8 y^{2} 2 \). Factor the expression by following steps: - step0: Factor: \(24x^{2}\times 2-52xy+8y^{2}\times 2\) - step1: Multiply the terms: \(48x^{2}-52xy+8y^{2}\times 2\) - step2: Multiply the terms: \(48x^{2}-52xy+16y^{2}\) - step3: Factor the expression: \(4\left(12x^{2}-13xy+4y^{2}\right)\) Here are the factorizations for the given expressions: 1. **For \( 4 x^{2}+13 x+3 \)**: - Factorization: \((x+3)(4x+1)\) 2. **For \( 4 x^{2}+\pi-3 \)**: - Result: No result could be found for the input provided. 3. **For \( 3 x^{2}-4 x-4 \)**: - Factorization: \((x-2)(3x+2)\) 4. **For \( 2 x^{2}-5 x-3 \)**: - Factorization: \((x-3)(2x+1)\) 5. **For \( 7 a^{2}-11 a+4 \)**: - Factorization: \((a-1)(7a-4)\) 6. **For \( 24 x^{2}-30 a+9 \)**: - Factorization: \(3(8x^{2}-10a+3)\) 7. **For \( 2 x^{3} y+12 x^{2} y+18 x y \)**: - Factorization: \(2xy(x+3)^{2}\) 8. **For \( 2 x^{2}+8 x+6 \)**: - Factorization: \(2(x+1)(x+3)\) 9. **For \( 24 x^{2} 2-52 x y+8 y^{2} 2 \)**: - Factorization: \(4(12x^{2}-13xy+4y^{2})\) 10. **For \( 3 x^{2}+13 u y-10 y^{2} \)**: - Result: No result could be found for the input provided. If you need further assistance or explanations for any specific expression, feel free to ask!