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(a + b) 2 = a 2 + 2ab + b 2 a a a2a2 b ab b2b2 b b b a a a + b (a + b ) 2 = a2a2 +ab +b 2 = a 2 + 2ab + b 2
a b b a a b (a – b) 2 ab – b 2 b 2 a-b a2a2 (a-b) 2 = a 2 -(ab-b 2 )-(ab-b 2 )-b 2 = a 2 -ab+b 2 -ab+b 2 -b 2 = a 2 -2ab+b 2
(a + b) (a - b) = a 2 - b 2 a a-b a 2 - ab b ab ab-b 2 b2b2 b b b a a-b a a + b (a+b)a 2 – ab+ab – b 2 = a 2 - b 2 (a-b) =
(x + a)(x + b ) = x 2 + (a + b)x + ab x x x2x2 a ax bx ab b a b x x x + a x + b ( x + a ) x2x2 +ax +bx+ab = x 2 – (a +b )x +ab (x + b) =
( ) ax 2 + bx + c 2x x + 5 ac b 2(5) =10 = (2x + 1)(x + 5) check it by foiling 2x x+ 1x+ 5 2x(x + 5 ) + 1(x + 5)
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