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F.2 maths

發問:

1. If √2=1.414 , without using a calculator , find the value of 4/√32 (correct the answer to 2 decimal places)2. factorize(2a-b)(x+y)+(b-2a)(x+y)3. factorize xy+x+y+14. Using the Differences of Two Squares , Factorize the following polynomiala) 16a^2-81b^2b) (x+y)^2-9c) ... 顯示更多 1. If √2=1.414 , without using a calculator , find the value of 4/√32 (correct the answer to 2 decimal places) 2. factorize(2a-b)(x+y)+(b-2a)(x+y) 3. factorize xy+x+y+1 4. Using the Differences of Two Squares , Factorize the following polynomial a) 16a^2-81b^2 b) (x+y)^2-9 c) (a+b)^2-(c+d)^2 5. Using the Perfect Square Identities , Factorize the following polynomails. a) 9x^2+6xy+y^2 b) 4x^2-12xy+9y^2 6. Using Suitable Identities , factorize the following polynomials. a) a^2-b^2+ax-bx b) p^4-2p^2q^2+q^4 請列計算過程

最佳解答:

(1) 4/√32 = 4/4√2 = 1/√2 = √2 / 2 = 1.414 / 2 = 0.71 (2) (2a -b) (x+y) + (b-2a)(x+y) = (x+y)[(2a-b) +(b-2a)] = (x+y)(0) = 0 (3) xy + x +y+1 = x(y+1) + (y+1) = (y+1)(x+1) (4) (a) 16a^2 - 81b^2 = (4a)^2 -(9b)^2 = (4a - 9b)(4a +9b) (b) (x+y)^2 - 9 = (x+y)^2 -(3)^2 = (x+y-3) (x+y+3) (c) (a+b)^2 - (c+d)^2 = [(a+b)+(c+d)] [(a+b)-(c+d)] = (a+b+c+d)(a+b-c-d) (5) (a) 9x^2 +6xy+y^2 = (3x)^2 +2(3x)y+y^2 = (3x+y)^2 (b) 4x^2 - 12xy+9y^2 = (2x)^2 - 2(2x)(3y) +(3y)^2 = (2x-3y)^2 (6) (a) a^2-b^2 +ax-bx = (a-b)(a+b) +(a-b)x = (a-b)(a+b+x) (b) p^4 -2p^2q^2 +q^4 = (p^2 -q^2)^2 = [(p+q) (p-q)]^2 = (p+q)^2 (p-q)^2

其他解答:9B623C59CC17F40C