Question

factorise
1)4y2-4y+1
2)x2-y2/100

Answer 1

$\large{\underline{\bold{\purple{Question:}}}}$

$\sf{Factorise}$

$\sf{❶\:4y²-4y+1}$

$\sf{❷\:x²-\dfrac{y²}{100}}$

$\large{\underline{\bold{\purple{Answer:}}}}$

$\bold{❶\:4y²-4y+1}$

$\leadsto$ $\bold{4y²-2y-2y+1}$

$\leadsto$ $\bold{2y(2y-1)-1(2y-1)}$

$\leadsto$ $\bold{(2y-1)(2y-1)}$

$\leadsto$ $\bold{\red{(2y-1)²}}$

$\bold{❷\:x²-\dfrac{y²}{100}}$

$\leadsto$ $\bold{x²-(\dfrac{y}{10})²}$

$\leadsto$ $\bold{\red{(x+\dfrac{y}{10})(x-\dfrac{y}{10})}}$