Question

Solve 4(2a + b)^2-(a - b)^2​

Answer 1

Answer:

• 4(2a+b)^2-(a-b)^2
• 4(4a^2+b^2+4ab)-(a^2+b^2-2ab)
• 4(4a^2+b^2+4ab-a^2-b^2+2ab)
• 4(4a^2-a^2+b^2-b^2+4ab+2ab)
• 4(3a^2+6ab)
• 12a^2+24ab

Answer 2

Answer:

We have

4(2a+b)² - (a-b)²

= 4(4a²+b²+4ab) - (a²+b²-2ab)

=16a² + 4b² + 16ab - a ²-b² + 2ab

=15a² + 3b² +18ab

=3(5a² + b² + 6ab)

=3(5a² + 6ab + b²)

=3(5a² +5ab + ab + b²)

=3{5a(a + b) + b(a + b)}

3(5a +b) (a +b)

I hope this will help you ☺️.