Multiplication and Division of Polynomials (多項式の乗除) 😸
Question: Expand the following exressions.
① (x+2)(y+4)
② (x+4)(X+5)
③ (x+7)(x+7)
④ (x+4)(x-4)
How to solve: ① can be expanded like this,
(x+2)(y+4)=xy+4x+2y+8
② We expand by using the formula, the quantity x plus a, close quantity, times the quantity x plus b, close quantity equals x squared plus the quantity a plus b, close quantity, times x plus a b.
③ We expand by utilizing the formula, the square of the quantity a plus b, close quantity, equals a squared plus 2 a b plus b squared.
④ Weexpand by applying the formula, the quantity a plus b, close quantity, times the quantity a minus b, close quantity, equals a squared minus b squared.
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