Simplify;
4x + 5xy – 3x² – 6xy + 6
= – xy – 3x² + 4x + 6
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3x + 2x(x+2) – 6x²
= 3x + 2x² + 4x – 6x²
= – 4x² + 7x
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(6a + 2b - 3c ) - ( 4a - 4b + 9c + 12 )
(6a + 2b - 3c ) + ( - 4a + 4b - 9c - 12 )
= 2a + 6b – 12c - 12
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Subtract ( 3y + xy ) from ( - 5y + 12xy)
Ans; ( – 5y + 12xy ) – (3y + xy)
( – 5y + 12xy ) + ( - 3y - xy)
= – 8y + 11 xy
= 11xy – 8y
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Find the product of 6ab and –3a²b³
[tex](6ab) \times ( - 3 {a}^{2} {b}^{3} ) = - 18 {a}^{3} {b}^{4} [/tex]
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[tex]( - 3 {x}^{2} y) \times (4 {x}^{2} y - 3x {y}^{2} + 4x - 5y) \\ \\ = - 12 {x}^{4} {y}^{2} + 9 {x}^{3} {y}^{3} - 12 {x}^{3} y + 15 {x}^{2} {y}^{2} [/tex]
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Example 1; Ans ;
perimeter of triangle = Length of the first side + Length of the second side + Length of the third side
perimeter of triangle = A + B + C
4x² + 17xy + 5 = ( 5xy -3x² ) + ( x² + 5xy - 2 ) + c
4x² + 17xy + 5 = - 2x² + 10xy - 2 + c
c = (4x² + 17xy + 5 ) – ( - 2x² + 10xy - 2)
c = (4x² + 17xy + 5 ) + ( 2x² - 10xy + 2)
c = 6x² + 7xy + 7
So; Length of the third side = ( 6x² + 7xy + 7 )
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Example 2 ; Ans;
To find the length of the smallest part, we must subtract the total length from the length of the largest part .
Total length = The length of the largest part + The length of the smallest part
The length of the smallest part = Total length – The length of the largest part
The length of the smallest part = ( 5mn – 2n +1 ) – ( 3mn +n )
The length of the smallest part = ( 5mn – 2n +1 ) + ( – 3mn – n )
The length of the smallest part = 2mn – 3n +1
So ; the length of the smallest part = ( 2mn – 3n + 1 )
I hope I helped you^_^
