Evaluate the following using the identity a²-b²=(a+b)(a-b)a)1025²-5

1.	Evaluate the following using the identity a²-b²=(a+b)(a-b)a)1025²-589² b)666²-555²
Answer» $\blue{\bold{\underline{\underline{Answer:}}}}$ $\green{\tt{\therefore{1025^{2}-589^{2}=7,03,704}}}$ $\green{\tt{\therefore{666^{2}-555^{2}=1,35,531}}}$ $\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$ $\green{\underline \bold{<klux>GIVEN</klux>: }} \\ \tt: \implies {1025}^{2} - {589}^{2} \\ \\ \tt: \implies {666}^{2} - {555}^{2} \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies {1025}^{2} - {589}^{2} =?\\ \\ \tt: \implies {666}^{2} - {555}^{2} = ?$ • ACCORDING to given QUESTION : $\bold{As \: we \: know \: that} \\ \tt: \implies {1025}^{2} - {589}^{2} \\ \\ \tt \circ \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ \tt: \implies {1025}^{2} - {589}^{2} = (1025 + 589)(1025 - 589) \\ \\ \tt: \implies {1025}^{2} - {589}^{2} =1614 \times 436 \\ \\ \green{\tt: \implies {1025}^{2} - {589}^{2} =7,03,704} \\ \\ \bold{Similarly : } \\ \tt: \implies {666}^{2} - {555}^{2} \\ \\ \tt: \implies {666}^{2} - {555}^{2} =(666 + 555)(666 - 555) \\ \\ \tt: \implies {666}^{2} - {555}^{2} =1221 \times 111 \\ \\ \green{\tt: \implies {666}^{2} - {555}^{2} =1,35,531}$

Evaluate the following using the identity a²-b²=(a+b)(a-b)a)1025²-589² b)666²-555²

Answer»

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{1025^{2}-589^{2}=7,03,704}}}$

$\green{\tt{\therefore{666^{2}-555^{2}=1,35,531}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{<klux>GIVEN</klux>: }} \\ \tt: \implies {1025}^{2} - {589}^{2} \\ \\ \tt: \implies {666}^{2} - {555}^{2} \\ \\ \red{\underline \bold{To \: Find: }} \\ \tt: \implies {1025}^{2} - {589}^{2} =?\\ \\ \tt: \implies {666}^{2} - {555}^{2} = ?$

• ACCORDING to given QUESTION :

$\bold{As \: we \: know \: that} \\ \tt: \implies {1025}^{2} - {589}^{2} \\ \\ \tt \circ \: {a}^{2} - {b}^{2} = (a + b)(a - b) \\ \\ \tt: \implies {1025}^{2} - {589}^{2} = (1025 + 589)(1025 - 589) \\ \\ \tt: \implies {1025}^{2} - {589}^{2} =1614 \times 436 \\ \\ \green{\tt: \implies {1025}^{2} - {589}^{2} =7,03,704} \\ \\ \bold{Similarly : } \\ \tt: \implies {666}^{2} - {555}^{2} \\ \\ \tt: \implies {666}^{2} - {555}^{2} =(666 + 555)(666 - 555) \\ \\ \tt: \implies {666}^{2} - {555}^{2} =1221 \times 111 \\ \\ \green{\tt: \implies {666}^{2} - {555}^{2} =1,35,531}$

Evaluate the following using the identity a²-b²=(a+b)(a-b)a)1025²-589² b)666²-555²

• ACCORDING to given QUESTION :

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment