Ciasswork Factorise fully 1. \( 5 x+14 x+8 \) 2. \( 6 x^{2}-11 x-10 \) 3. \( 6 x^{2}-5 x-21 \) 4. \( 20 x+24 x-9 x-9 \) 5. \( 18 x^{2}-3 x-10 \)

Factor the expression \( 6x^{2}-11x-10 \). Factor the expression by following steps: - step0: Factor: \(6x^{2}-11x-10\) - step1: Rewrite the expression: \(6x^{2}+\left(4-15\right)x-10\) - step2: Calculate: \(6x^{2}+4x-15x-10\) - step3: Rewrite the expression: \(2x\times 3x+2x\times 2-5\times 3x-5\times 2\) - step4: Factor the expression: \(2x\left(3x+2\right)-5\left(3x+2\right)\) - step5: Factor the expression: \(\left(2x-5\right)\left(3x+2\right)\) Factor the expression \( 6x^{2}-5x-21 \). Factor the expression by following steps: - step0: Factor: \(6x^{2}-5x-21\) - step1: Rewrite the expression: \(6x^{2}+\left(-14+9\right)x-21\) - step2: Calculate: \(6x^{2}-14x+9x-21\) - step3: Rewrite the expression: \(2x\times 3x-2x\times 7+3\times 3x-3\times 7\) - step4: Factor the expression: \(2x\left(3x-7\right)+3\left(3x-7\right)\) - step5: Factor the expression: \(\left(2x+3\right)\left(3x-7\right)\) Factor the expression \( 18x^{2}-3x-10 \). Factor the expression by following steps: - step0: Factor: \(18x^{2}-3x-10\) - step1: Rewrite the expression: \(18x^{2}+\left(-15+12\right)x-10\) - step2: Calculate: \(18x^{2}-15x+12x-10\) - step3: Rewrite the expression: \(3x\times 6x-3x\times 5+2\times 6x-2\times 5\) - step4: Factor the expression: \(3x\left(6x-5\right)+2\left(6x-5\right)\) - step5: Factor the expression: \(\left(3x+2\right)\left(6x-5\right)\) The factorization of the given expressions is as follows: 1. \(5x+14x+8 = 19x+8\) 2. \(6x^{2}-11x-10 = (2x-5)(3x+2)\) 3. \(6x^{2}-5x-21 = (2x+3)(3x-7)\) 4. \(20x+24x-9x-9 = 35x-9\) 5. \(18x^{2}-3x-10 = (3x+2)(6x-5)\)