Question

How to factorise this?​

Answer 1

Answer:

${4a}^{2} - {7}^{2}$

$| 4a - 7| \times | 4a + 7 |$

Answer 2

Use the sum-product pattern

16²- 49

$\16a²{2}{\color{#c92786}{-49}}$

16a2−4912+28−28−49

$\16a^{2}+{\color{#c92786}{28a}}$

$\{\color{#c92786}{-28a}}-49$

16a²+28a−28a−49²

Common factor from the two pairs

16²+28−28−49

16a²{2}+28a-28a-49

16a²+28a−28a−49

4(4+7)−7(4+7)

4a(4a+7)-7(4a+7)

4a(4a+7)−7(4a+7)3

Rewrite in factored form

4(4+7)−7(4+7)

4a(4a+7)-7(4a+7)

4a(4a+7)−7(4a+7)

(4−7)(4+7)