Multiply Bracketed Terms, Same Variable (Level 2)

This topic focuses on algebraic functions, specifically on the multiplication of bracketed terms with the same variable. It is an advanced aspect of studying polynomials and quadratics. The practice involves identifying equivalent expressions from given binomial multiplication problems. The variables used are 'm', 'x', 'b', 'p' and 'd'. The solutions to these problems require understanding of expanding and simplifying algebraic expressions.

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Algebraic Functions - Multiply Bracketed Terms, Same Variable Worksheet

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Algebraic Functions - Multiply Bracketed Terms, Same Variable
1
Which answer is the same expression as this
A LaTex expression showing (d - 2)(d + 3)
a A LaTex expression showing d to the power of 2 + 6d + 5
b A LaTex expression showing d to the power of 2 + 1d - 6
c A LaTex expression showing d to the power of 2 - 5d + 6
d A LaTex expression showing d to the power of 2 + 6d + 6
e A LaTex expression showing 6d to the power of 2 - 5d + 8
2
Which answer is the same expression as this
A LaTex expression showing (x - 9)(x - 2)
a A LaTex expression showing x to the power of 2 - 11x + 18
b A LaTex expression showing x to the power of 2 + 18x + 11
c A LaTex expression showing 18x to the power of 2 - 11x + 13
d A LaTex expression showing x to the power of 2 + 11x - 18
e A LaTex expression showing 11x to the power of 2 - x + 18
3
Which answer is the same expression as this
A LaTex expression showing (r + 2)(r - 5)
a A LaTex expression showing r to the power of 2 + 7r - 10
b A LaTex expression showing 10r to the power of 2 + 7r + 12
c A LaTex expression showing r to the power of 2 + 10r - 7
d A LaTex expression showing r to the power of 2 - 3r - 10
e A LaTex expression showing r to the power of 2 + 7r + 10
4
Which answer is the same expression as this
A LaTex expression showing (d - 6)(d + 3)
a A LaTex expression showing d to the power of 2 - 3d - 18
b A LaTex expression showing d to the power of 2 - 18d + 18
c A LaTex expression showing d to the power of 2 + 18d + 9
d A LaTex expression showing d to the power of 2 + 9d + 18
e A LaTex expression showing 9d to the power of 2 - d + 18
5
Which answer is the same expression as this
A LaTex expression showing (z - 2)(z - 4)
a A LaTex expression showing z to the power of 2 - 6z + 8
b A LaTex expression showing z to the power of 2 + 8z + 6
c A LaTex expression showing z to the power of 2 - 8z + 6
d A LaTex expression showing 6z to the power of 2 + z + 8
e A LaTex expression showing z to the power of 2 + 6z - 8
6
Which answer is the same expression as this
A LaTex expression showing (z + 6)(z - 6)
a A LaTex expression showing z to the power of 2 + 36
b A LaTex expression showing z to the power of 2 + 12z - 36
c A LaTex expression showing z to the power of 2 + 12z - 12
d A LaTex expression showing z to the power of 2 + 36z - 36
e A LaTex expression showing z to the power of 2 - 36
7
Which answer is the same expression as this
A LaTex expression showing (c - 6)(c + 9)
a A LaTex expression showing 15c to the power of 2 - c + 54
b A LaTex expression showing c to the power of 2 - 15c + 54
c A LaTex expression showing c to the power of 2 - 15c - 54
d A LaTex expression showing c to the power of 2 + 3c - 54
8
Which answer is the same expression as this
A LaTex expression showing (d + 7)(d - 2)
a A LaTex expression showing d to the power of 2 + 5d - 14
b A LaTex expression showing d to the power of 2 - 14d + 9
c A LaTex expression showing d to the power of 2 + 9d + 14
d A LaTex expression showing 14d to the power of 2 + 9d + 11
e A LaTex expression showing d to the power of 2 + 14d - 9