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Algebra Level 1

10 3 2 10 2 2 5 41 = ? \large 103^{2} -102^{2} - 5\cdot 41= \, ?


The answer is 0.

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4 solutions

Mohammad Khaza
Aug 4, 2017

the answer is 0

5.41 is not 5x41

Keith Wilson - 3 years, 8 months ago

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in latex form, we can write---\times or \cdot instead of multiplication.this is the dot form.

again, 5 41 5\cdot41 and 5.41 5.41 is not same...............:D

Mohammad Khaza - 3 years, 8 months ago
Ashish Menon
Jun 29, 2016

103 2 102 2 4 × 51 = ( 103 + 102 ) ( 103 102 ) 205 = 205 205 = 0 \begin{aligned} {103}^2 - {102}^2 - 4 × 51 & = (103+102)(103-102) - 205\\ & = 205 - 205\\ & = \color{#3D99F6}{\boxed{0}} \end{aligned}

Hung Woei Neoh
Apr 17, 2016

10 3 2 10 2 2 5 41 = ( 102 + 1 ) 2 10 2 2 5 41 = 10 2 2 + 2 ( 102 ) + 1 10 2 2 5 41 = 205 205 = 0 103^2-102^2-5\cdot41\\ = (102+1)^2 - 102^2 - 5\cdot41\\ = 102^2 + 2(102) + 1 - 102^2 - 5\cdot41\\ = 205 - 205\\ =\boxed{0}

( 10 3 2 10 2 2 ) 5 × 41 \large \Rightarrow (103^2-102^2)-5×41

= 205 5 × ( 40 + 1 ) \large= 205-5×(40+1)

= 205 200 5 \large= 205-200-5

= 0 \large= \boxed{0}

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