? ABSOLUTELY RIGHT A. Direction: Use the Pascal's triangle to find the expansion of the following binomials. (2 points each) row 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 1 8 28 56 70 56 28 8 1 1 9 36 84 126 126 84 36 9 1 10 1. $(x + y)^3$ Given: n= ______ ; Row ______ ; x = ______ ; y = ______ Expanded form: ______ 2. $(x - y)^2$ Given: n= ______ ; Row ______ ; x = ______ ; y = ______ Expanded form: ______ 3. $(x - 3y)^2$ Given: n= ______ ; Row ______ ; x = ______ ; y = ______ Expanded form: ______ 4. $(2x + y)^8$ Given: n= ______ ; Row ______ ; x = ______ ; y = ______ Expanded form: ______ 5. $(x - y)^9$ Given: n= ______ ; Row ______ ; x = ______ ; y = ______ Expanded form: ______
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(x + y)^2 To expand this binomial, we can use Pascal's triangle. The second row of Pascal's triangle is 1 2 1. The exponents of x and y in the expanded form will follow this pattern. So, we have: (x + y)^2 = 1x^2 + 2xy + 1y^2 Simplifying, we get: (x + y)^2 = x^2 + Show more…
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