Question

factorise (100x²—400xyz+ 400y²z²)​

Answer 1

$100x^2-400xyz +400y^2 z^2\\\\=100(x^2 - 4xyz +4y^2 z^2)\\\\=100 \left[x^2 - 2 \cdot x \cdot 2 yz + (2yz)^2\right ]\\\\=100((x-2yz)^2 \\\\=100(x-2yz)(x-2yz)$