Puas yog cov lej ntawm ob lub squares ua tau?

2024 Tus sau: Elizabeth Oswald | [email protected]. Kawg hloov kho: 2024-01-13 00:07

Note, the sum of squares is not factorable with real numbers. Piv txwv li, + tsis tuaj yeem suav nrog tus lej tiag.

Tus lej ntawm ob lub squares puas tuaj yeem suav tau?

Yes, koj tuaj yeem . Daim ntawv ceeb toom tias cov xwm txheej muaj daim ntawv ntawm (P + Q) (P−Q), uas yog qhov tseeb multiplies rau P²−Q². … Yog tias koj tso cai rau yam tsis muaj laj thawj, koj tuaj yeem suav cov lej ntau ntxiv ntawm cov squares, thiab yog tias koj tso cai rau cov xwm txheej nyuaj koj tuaj yeem suav cov lej ntawm cov squares. Piv txwv 1: Factor 4x⁴ + 625y^4.

Puas yog qhov txawv ntawm ob lub squares Factorable?

Thaum ib qho kev qhia tuaj yeem pom qhov txawv ntawm ob lub squares zoo meej, i.e. a²-b², ces peb tuaj yeem suav nws li (a + b)(a-b). Piv txwv li, x²-25 tuaj yeem muab faib ua (x+5)(x-5). Txoj kev no yog ua raws li tus qauv (a+b)(a-b)=a²-b², uas tuaj yeem txheeb xyuas tau los ntawm kev nthuav cov kab lus hauv (a+b)(a-b).

Puas yog squares zoo meej Factorable?

Thaum ib qho kev nthuav qhia muaj daim ntawv dav dav a² + 2ab + b², ces peb tuaj yeem muab nws ua (a+b)². Piv txwv li, x² + 10x + 25 tuaj yeem ua piv txwv li (x + 5)². Txoj kev no yog ua raws li tus qauv (a+b)²=a²+2ab+b², uas tuaj yeem txheeb xyuas tau los ntawm kev nthuav cov kab lus hauv (a+b)(a+b).

Dab tsi yog cov squares zoo meej ntawm 1 txog 1000?

Ntau 30 zoo meej squares nruab nrab ntawm 1 txog 1000. Lawv yog 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900 thiab 961.