[tex]a) \ (4x+11y)^{2} = 16x^{2}+88xy+121y^{2}\\\\\\b) \ (3x-8y)^{2} = 9x^{2}-48xy+64y^{2}\\\\\\c) \ (-6+21a)^{2} = 36-252a + 441a^{2}\\\\\\d) \ (-7a-9b)^{2} = 49a^{2}+126ab+81b^{2}[/tex]
[tex]e) \ 144x^{2}-225y^{2} = (12x+15y)(12x-15y)\\\\\\f) \ -216p^{2}+729q^{2} = 729q^{2}-216p^{2} = (27q + \sqrt{36\cdot6}p)(27q-\sqrt{36\cdot6}p) =\\\\=(27q+6\sqrt{6}p)(27q - 6\sqrt{6}p)[/tex]
Wykorzystano wzory skróconego mnożenia:
[tex](a+b)^{2} = a^{2}+2ab+b^{2}\\\\(a-b)^{2} = a^{2}-2ab+b^{2}\\\\(a+b)(a-b) = a^{2}-b^{2}[/tex]
