Question

Q.10 Factorise : 4x2 + y2 + 25 z2 + 4xy – 10yz- 20zx and hence find its value when
x = -1, y = 2 and z = -3.​

Answer 1

Step-by-step explanation:

$\blue{ \bf{ \underline{QUESTION} : - }}$

Factorise : 4x² + y²+ 25 z² + 4xy – 10yz- 20zx and hence find its value when

x = -1, y = 2 and z = -3.

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$\huge{ \boxed{ \bold{Given}}}$

• x = -1

• y = 2

• Z = -3

$\boxed{ \huge{ \bold{to \: find}}}$

• Factorization the Given Numbers

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

$\large{ \sf{ {4x}^{2} + {y}^{2} + 25 {z}^{2} + 4xy - 10yz - 20zx}}$

Puting x,y,z Value ➟

${\red\rightarrow { \large{ \sf{ { (- 1)}^{2} + {(2)}^{2} + 25 {( - 3)}^{2} + 4 \times ( - 1) \times 2 - 10 \times 2 \times ( - 3) - 20 \times ( - 3) \times ( - 1)}}}}$

${\red\rightarrow { \large{ \sf{ { 1} + 4 + 225 - 8 + 60 + 60 + 3 }}}}$

${\red\rightarrow { \large{ \sf{ \boxed{ \frak{ \green{ 345 }}}}}}}$

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