search_term_contains_brand.js

var search_terms = ['buy nike shoes','adidas online','rebok cloths']; // With some spelling errors
var brands = ['nike','adidas','reebok'];

for (var i=0; i<search_terms.length; i++) {

    for (var j=0; j<brands.length; j++) {

        if(search_terms[i].indexOf(brands[j]) !== -1) {
            // Do whatever you want to do when the search term contains a brand name
        }

    }

}