October 2018 2 28 Report

Zapisz wyrażenia w postaci iloczynów.

a. 25a25a^{2} - 16b^{2}

b.( x - y )^{2} - 9 \

c. 16x^{4} - 36y^{2}

d. 121x^{2}y^{2} - (2a + 3b)^{2}

e. 8a^{6} - 25

f. \frac{(x + y)^{2}}{16} - \frac{(x-y)^{2}}{81}

wzory:

RÓŻNICA KWADRATÓW

a^{2} - b^{2} = ( a - b ) ( a + b )

KWADRAT SUMY

( x + y )^{2} = x^{2} + 2xy + y^{2}

KWADRAT RÓŹNICY

( a - b( a - b )^{2} = a^{2} - 2ab + b^{2}

NA CZWARTĄ POTĘGĘ

aa^{4} - b^{4} = (a^{2} - b^{2}) ( a^{2} + b^{2}) = ( a - b ) ( a + b )


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