WYRAŻENIA ALGEBRAICZNE
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(a+b)² + (a-b)² = [ a²+2*a*b+b²] + [a²-2*a*b+b²] = a²+2ab+b²+a²-2ab+b²=2a²+2b²
(3+a)² + (a-8)²-(a-4)(a+4) = [3²+2*3*a+a²] + [a²-2*a*8+8²] - [a²-4²] =9+6a+a²+a²-16a+64-a²+16 = 89-10a+a²
2(½x-y)² - 6(⅔x+1)(⅔x+1)= (x-2y)²- (4x+6)(⅔x+1) = [x²-2*x*2y+(2y)²]- [ 8/3x²+4x+4x+6] = x²-4xy+4y²-8/3x²-4x-4x-6= -5/3x²-4xy+4y²-8x
a)
b)
c)
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(a+b)² + (a-b)² = [ a²+2*a*b+b²] + [a²-2*a*b+b²] = a²+2ab+b²+a²-2ab+b²=2a²+2b²
(3+a)² + (a-8)²-(a-4)(a+4) = [3²+2*3*a+a²] + [a²-2*a*8+8²] - [a²-4²] =9+6a+a²+a²-16a+64-a²+16 = 89-10a+a²
2(½x-y)² - 6(⅔x+1)(⅔x+1)= (x-2y)²- (4x+6)(⅔x+1) = [x²-2*x*2y+(2y)²]- [ 8/3x²+4x+4x+6] = x²-4xy+4y²-8/3x²-4x-4x-6= -5/3x²-4xy+4y²-8x
a)
b)
c)