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Formation of Algebraic Expressions

Add: -3y2+1...

Question

Add: $- 3 y^{2} + 10 y - 16; 7 y^{2} + 8$

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Solution

From question,
$(- 3 y^{2} + 10 y - 16) + (7 y^{2} + 8)$
$= - 3 y^{2} + 10 y - 16 + 7 y^{2} + 8$
$= - 3 y^{2} + 7 y^{2} + 10 y - 16 + 8$
$= 4 y^{2} + 10 y - 8$ [Combining like terms together]
Hence, the required sum is $4 y^{2} + 10 y - 8$ .

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Q. 3y² = 10y + 7

Q. Write the following quadratic equation in its standard form:

3 y^{2} = 10 y + 7

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(6 y^{5} + 15 y^{4} + 16 y^{3} + 4 y^{2} + 10 y - 35)

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3 x^{2} + 3 y^{2} - 4 x y + 10 x + 10 y + 10 = 0.

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