Question

find the product of 4y Exponent 2 multiply xy subtract x Exponent 2 and evaluate it for x is equal to 2 and y is equal to 1

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Answer 1

SOLUTION:

$LHS = 4y^{2} (xy - x ^{2} ) \\ = > 4xy ^{3} - 4x^{2} y ^{2} = rHS \:$

Evaluation :

$LHS = 4y ^{2} (xy - x ^{2} ) \\ = > 4 \times (1) ^{2}(2 \times 1 - (2) ^{2} ) \\ = > 4(2 - 4) \\ = > 4 \times ( - 2) \\ = > - 8.............(i)$

$rHS = 4xy ^{3} - 4x ^{2} y ^{2} \\ = > 4 \times 2 \times (1) ^{3} - 4 \times ( 2) ^{2} \times( 1) ^{2} \\ = > 8 - 4 \times 4 \\ = > 8 - 16 \\ = > - 8..............(ii)$

HERE,

From equation (i) and (ii)

LHS=RHS

HENCE VERIFY.

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