Question

factorise 4 a square + 12 a b + 9 b square - 25 Z Square

Answer 1

Step-by-step explanation:

4a²+12ab+9b²-25z²

=(2a)²+2×2a×3b+(3b)²-25z²

by identity x²+2xy+y²=(x+y)²

x=2a y=3b

=(2a+3b)²-25z²

=(2a+3b)²-(5z)²

by identity x²-y²=(x-y)(x+y)

where x=2a+3b and y=5z

=(2a+3b-5z)(2a+3b+5z)

hope this is helpful