Peroxisomes are involved in lipid and fat breakdown; whereas, lysosomes are primarily involved with the breakdown of proteins and polysaccharides.
Step-by-step explanation:
Both lysosomes and peroxisomes are enzymatic microbodies present in the cell and facilitate metabolism in the cell.
Peroxisomes are mostly found in adipocytes or fat cells and in the liver of mammals. The long and complex fatty acid chains are oxidized through the metabolic pathway called peroxisomal beta-oxidation in the peroxisomes. The long chains are broken down to simpler fatty acids and transported to mitochondria. Beta-oxidation of fatty acid is activated through peroxisomal enzymes like oxidases, dehydrogenases, transferases etc