Bracketed Terms, Squared (Level 3)

This topic focuses on the practice of algebraic functions, particularly dealing with bracketed terms squared, which is an integral part of advanced polynomials and quadratics. Questions involve expressing different bracketed terms squared as similar expressions, honing the understanding and manipulation of these complex algebraic expressions. Overall, the emphasis is on enhancing algebraic function skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Algebraic Functions - Bracketed Terms, Squared Worksheet

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Math worksheet on 'Algebraic Functions - Bracketed Terms, Squared (Level 3)'. Part of a broader unit on 'Polynomials and Quadratics - Advanced' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (2y + 3) to the power of 2
a A LaTex expression showing 4y to the power of 2 + 12y + 9
b A LaTex expression showing y to the power of 2 - 9y + 12
c A LaTex expression showing 12y to the power of 2 + 9y + 12
d A LaTex expression showing 9y to the power of 2 + 12y - 9
e A LaTex expression showing 12y to the power of 2 + 12y - 9
f A LaTex expression showing 9y to the power of 2 - 12y + 9
2
Which answer is the same expression as this
A LaTex expression showing (4y + 6) to the power of 2
a A LaTex expression showing 36y to the power of 2 - 48y + 14
b A LaTex expression showing 16y to the power of 2 + 48y - 36
c A LaTex expression showing 48y to the power of 2 + 36y + 48
d A LaTex expression showing 16y to the power of 2 + 48y + 36
e A LaTex expression showing 16y to the power of 2 - 48y + 36
f A LaTex expression showing y to the power of 2 + 36y - 48
3
Which answer is the same expression as this
A LaTex expression showing (9z + 4) to the power of 2
a A LaTex expression showing 16z to the power of 2 + 72z - 16
b A LaTex expression showing 81z to the power of 2 + 16z + 72
c A LaTex expression showing 72z to the power of 2 + 72z - 16
d A LaTex expression showing 16z to the power of 2 - 72z + 16
e A LaTex expression showing 72z to the power of 2 - z + 16
f A LaTex expression showing 81z to the power of 2 + 72z + 16
4
Which answer is the same expression as this
A LaTex expression showing (3z + 4) to the power of 2
a A LaTex expression showing z to the power of 2 - 16z + 24
b A LaTex expression showing 9z to the power of 2 + 24z + 16
c A LaTex expression showing 9z to the power of 2 + 24z - 16
d A LaTex expression showing 16z to the power of 2 + 24z + 10
e A LaTex expression showing 24z to the power of 2 + 24z - 16
f A LaTex expression showing 16z to the power of 2 + 16z + 24
5
Which answer is the same expression as this
A LaTex expression showing (6m + 6) to the power of 2
a A LaTex expression showing 72m to the power of 2 + m + 36
b A LaTex expression showing m to the power of 2 - 36m + 72
c A LaTex expression showing 36m to the power of 2 + 72m + 36
d A LaTex expression showing 36m to the power of 2 - 72m + 18
e A LaTex expression showing 36m to the power of 2 + 72m + 18
f A LaTex expression showing 72m to the power of 2 - 72m + 36
6
Which answer is the same expression as this
A LaTex expression showing (4c + 7) to the power of 2
a A LaTex expression showing c to the power of 2 + 49c - 56
b A LaTex expression showing 56c to the power of 2 - 56c + 49
c A LaTex expression showing 16c to the power of 2 + 56c + 49
d A LaTex expression showing 16c to the power of 2 + 56c - 49
e A LaTex expression showing 56c to the power of 2 - c + 49
f A LaTex expression showing 56c to the power of 2 + c + 49
7
Which answer is the same expression as this
A LaTex expression showing (7m + 6) to the power of 2
a A LaTex expression showing m to the power of 2 + 36m - 84
b A LaTex expression showing 49m to the power of 2 + 84m + 36
c A LaTex expression showing 84m to the power of 2 + 36m + 84
d A LaTex expression showing 84m to the power of 2 - m + 36
e A LaTex expression showing 84m to the power of 2 + m + 36
f A LaTex expression showing 84m to the power of 2 - 84m + 36