Question
From the sum of
4+3x and 5−4x+2x2,
subtract the sum of
3x2−5x and −x2+2x+5. [4 MARKS]
4+3x and 5−4x+2x2,
subtract the sum of
3x2−5x and −x2+2x+5. [4 MARKS]
Answer:
:
Forming the equation: 1 Mark
Steps: 2 Marks
Answer: 1 Mark
While adding or subtracting algebraic expressions we need to be aware that we can add/subtract only like terms.
Like terms have the same algebraic factors.
According to question,
⌊(4+3x)+(5−4x+2x2)⌋−⌊(3x2−5x)+(−x2+2x+5)⌋
=[4+3x+5−4x+2x2]−[3x2−5x−x2+2x+5]
=[2x2+3x−4x+5+4]−[3x2−x2+2x−5x+5]
=[2x2−x+9]−[2x2−3x+5]
=2x2−x+9−2x2+3x−5
=2x2−2x2−x+3x+9−5
=2x+4
So, the required expression is2x+4.
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:
Forming the equation: 1 Mark
Steps: 2 Marks
Answer: 1 Mark
While adding or subtracting algebraic expressions we need to be aware that we can add/subtract only like terms.
Like terms have the same algebraic factors.
According to question,
⌊(4+3x)+(5−4x+2x2)⌋−⌊(3x2−5x)+(−x2+2x+5)⌋
=[4+3x+5−4x+2x2]−[3x2−5x−x2+2x+5]
=[2x2+3x−4x+5+4]−[3x2−x2+2x−5x+5]
=[2x2−x+9]−[2x2−3x+5]
=2x2−x+9−2x2+3x−5
=2x2−2x2−x+3x+9−5
=2x+4
So, the required expression is2x+4.
Was this answer helpful ?
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