Question

5. Simplify
16x2 - 9
12x2 + 7x - 12​

Answer 1

1. (4x - 3)(4x + 3)

2. (4x - 3)(3x + 4)

Step-by-step explanation:

1. 16x² - 9

(4x)² - (3)² = (4x -3)(4x + 3)

2. 12x² + 7x - 12

12x² + 16x - 9x - 12

4x (3x + 4) - 3(3x + 4)

(4x - 3)(3x + 4)

hope it helps you mate..

Answer 2

Answer:

1)16x2 - 9

$16 {x}^{2} - 9 = 0 \\ (4x {}^{} ) {}^{2} - (3) {}^{2} = 0 \\ using \: a { }^{2} - b {}^{2} = (a + b)(a - b) formula \\(4x + 3)(4x - 3) = 0 \\ 4x + 3 = 0 \: \: or \: \: 4x - 3 = 0 \\ x = - 3 \div 4 \: \: \: \: \: or \: \: \: \: \: x = 3 \div 4$

2) Simplifying

12x2 + 7x + -12 = 0

Using the AC Method

12x+16-9x-12 = 0 [ Splitting the middle term]

4x(3x+4)-3(3x+4)= 0

(4x-3)(3x+4) = 0

x = 3/4 (or) x = -4/3