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Multiply out and simplify - OCR - GCSE Maths - Question 5 - 2019 - Paper 4

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Multiply out and simplify. (4x + y)(x - 3y)

Worked Solution & Example Answer:Multiply out and simplify - OCR - GCSE Maths - Question 5 - 2019 - Paper 4

Step 1

Multiply out the expression

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Answer

To multiply out the expression, we will use the distributive property, also known as the FOIL method for binomials. This involves multiplying each term in the first expression by each term in the second expression:

(4x+y)(x−3y)=4ximesx+4ximes(−3y)+yimesx+yimes(−3y)(4x + y)(x - 3y) = 4x imes x + 4x imes (-3y) + y imes x + y imes (-3y)

This results in:

=4x2−12xy+xy−3y2= 4x^2 - 12xy + xy - 3y^2

Step 2

Combine like terms

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Answer

Next, we will combine the like terms in the expression, specifically the terms involving 'xy':

=4x2−11xy−3y2= 4x^2 - 11xy - 3y^2

Step 3

Final answer

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Answer

Therefore, the final simplified expression is:

4x2−11xy−3y24x^2 - 11xy - 3y^2

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