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This correct expansion earns the first M1 mark."},{"type":"hyper_latex","block":{"nodes":[{"latex":"\\htmlData{anchor=start}{\\color{@sky}{(x^2+3x+2)(x+5)}}"},{"latex":"\\htmlData{anchor=products}{\\color{@amber}{x^3+3x^2+2x+5x^2+15x+10}}"},{"latex":"\\htmlData{anchor=answer}{\\color{@green}{x^3+8x^2+17x+10}}"}],"connections":[{"to":"products","from":"start","color":"sky","label":"multiply out"},{"to":"answer","from":"products","color":"amber","label":"collect like terms"}]},"order":2,"title":"Multiply the remaining bracket","description":"Now multiply every term in the quadratic by both terms in the remaining bracket, then collect like terms. 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