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Algebraic Functions - 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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Bracketed Terms, Squared

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Which answer is the same expression as this

(2b+7)2(2b + 7)^2

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 (4r + 7) to the power of 2
a A LaTex expression showing 56r to the power of 2 - 56r + 49
b A LaTex expression showing 16r to the power of 2 - 56r + 49
c A LaTex expression showing 16r to the power of 2 + 49r + 56
d A LaTex expression showing 56r to the power of 2 + 56r - 49
e A LaTex expression showing 16r to the power of 2 + 56r - 49
f A LaTex expression showing 16r to the power of 2 + 56r + 49
2
Which answer is the same expression as this
A LaTex expression showing (8y + 4) to the power of 2
a A LaTex expression showing 64y to the power of 2 + 64y - 16
b A LaTex expression showing 64y to the power of 2 + 64y - 16
c A LaTex expression showing 64y to the power of 2 - 64y + 16
d A LaTex expression showing 64y to the power of 2 + 16y + 64
e A LaTex expression showing 64y to the power of 2 - 64y + 16
f A LaTex expression showing 64y to the power of 2 + 64y + 16
3
Which answer is the same expression as this
A LaTex expression showing (4r + 6) to the power of 2
a A LaTex expression showing 16r to the power of 2 - 48r + 36
b A LaTex expression showing 48r to the power of 2 + 48r - 36
c A LaTex expression showing 16r to the power of 2 + 36r + 48
d A LaTex expression showing 48r to the power of 2 - 48r + 36
e A LaTex expression showing 16r to the power of 2 + 48r - 36
f A LaTex expression showing 16r to the power of 2 + 48r + 36
4
Which answer is the same expression as this
A LaTex expression showing (4m + 7) to the power of 2
a A LaTex expression showing 16m to the power of 2 + 56m - 49
b A LaTex expression showing 16m to the power of 2 + 56m + 49
c A LaTex expression showing 56m to the power of 2 - 56m + 49
d A LaTex expression showing 16m to the power of 2 - 56m + 49
e A LaTex expression showing 16m to the power of 2 + 49m + 56
f A LaTex expression showing 56m to the power of 2 + 56m - 49
5
Which answer is the same expression as this
A LaTex expression showing (7n + 9) to the power of 2
a A LaTex expression showing 49n to the power of 2 + 126n - 81
b A LaTex expression showing 49n to the power of 2 + 126n + 81
c A LaTex expression showing 49n to the power of 2 + 81n + 126
d A LaTex expression showing 126n to the power of 2 - 126n + 81
e A LaTex expression showing 49n to the power of 2 - 126n + 81
f A LaTex expression showing 126n to the power of 2 + 126n - 81
6
Which answer is the same expression as this
A LaTex expression showing (8c + 6) to the power of 2
a A LaTex expression showing 64c to the power of 2 + 36c + 96
b A LaTex expression showing 64c to the power of 2 - 96c + 36
c A LaTex expression showing 96c to the power of 2 + 96c - 36
d A LaTex expression showing 64c to the power of 2 + 96c + 36
e A LaTex expression showing 96c to the power of 2 - 96c + 36
f A LaTex expression showing 64c to the power of 2 + 96c - 36
7
Which answer is the same expression as this
A LaTex expression showing (5n + 4) to the power of 2
a A LaTex expression showing 40n to the power of 2 + 40n - 16
b A LaTex expression showing 25n to the power of 2 + 16n + 40
c A LaTex expression showing 25n to the power of 2 + 40n + 16
d A LaTex expression showing 40n to the power of 2 - 40n + 16
e A LaTex expression showing 25n to the power of 2 - 40n + 16
f A LaTex expression showing 25n to the power of 2 + 40n - 16