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Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 4)

This math topic focuses on the skill of multiplying bracketed terms in algebraic functions, specifically when the same variable is used. It drills learners on expanding such expressions, often seen in polynomials and quadratic functions. The problems require correct calculation of multiple terms, including squared variables, variables, and constant terms. Answer choices show common mistakes and the importance of sign accuracy when multiplying positive and negative numbers. This is part of the broader topic of polynomials and quadratics at an advanced level.

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

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Multiply Bracketed Terms, Same Variable

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

(8c8)(2c+5)(8c - 8)(2c + 5)

Algebraic Functions - Multiply Bracketed Terms, Same Variable Worksheet

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Math worksheet on 'Algebraic Functions - Multiply Bracketed Terms, Same Variable (Level 4)'. Part of a broader unit on 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which answer is the same expression as this
A LaTex expression showing (3m - 9)(5m - 5)
a A LaTex expression showing 15m to the power of 2 + 60m + 45
b A LaTex expression showing 60m to the power of 2 + 45m - 60
c A LaTex expression showing 15m to the power of 2 + 45m + 60
d A LaTex expression showing 15m to the power of 2 - 60m + 45
e A LaTex expression showing 15m to the power of 2 + 60m - 45
f A LaTex expression showing 60m to the power of 2 - 45m + 60
2
Which answer is the same expression as this
A LaTex expression showing (5c - 8)(5c + 3)
a A LaTex expression showing 25c to the power of 2 + 25c - 24
b A LaTex expression showing 24c to the power of 2 + 24c - 24
c A LaTex expression showing 24c to the power of 2 + 25c + 24
d A LaTex expression showing 25c to the power of 2 - 25c - 24
e A LaTex expression showing 24c to the power of 2 - 25c + 24
f A LaTex expression showing 24c to the power of 2 - 25c + 24
3
Which answer is the same expression as this
A LaTex expression showing (8x - 7)(4x - 4)
a A LaTex expression showing 60x to the power of 2 - 28x + 60
b A LaTex expression showing 60x to the power of 2 + 28x - 60
c A LaTex expression showing 32x to the power of 2 - 60x + 28
d A LaTex expression showing 32x to the power of 2 + 60x - 28
e A LaTex expression showing 32x to the power of 2 + 60x + 28
f A LaTex expression showing 32x to the power of 2 + 28x + 60
4
Which answer is the same expression as this
A LaTex expression showing (9y - 4)(7y - 8)
a A LaTex expression showing 100y to the power of 2 + 32y - 100
b A LaTex expression showing 100y to the power of 2 - 32y + 100
c A LaTex expression showing 63y to the power of 2 - 100y + 32
d A LaTex expression showing 63y to the power of 2 + 100y + 32
e A LaTex expression showing 63y to the power of 2 + 100y - 32
f A LaTex expression showing 63y to the power of 2 + 32y + 100
5
Which answer is the same expression as this
A LaTex expression showing (6c - 7)(6c - 9)
a A LaTex expression showing 36c to the power of 2 - 96c + 63
b A LaTex expression showing 36c to the power of 2 + 96c - 63
c A LaTex expression showing 36c to the power of 2 + 63c + 96
d A LaTex expression showing 36c to the power of 2 + 96c + 63
e A LaTex expression showing 96c to the power of 2 - 63c + 96
f A LaTex expression showing 96c to the power of 2 + 63c - 96
6
Which answer is the same expression as this
A LaTex expression showing (6y - 6)(7y + 7)
a A LaTex expression showing 42y to the power of 2 - 42y - 42
b A LaTex expression showing 42y to the power of 2 - 0y - 42
c A LaTex expression showing 42y to the power of 2 - 42y + 42
d A LaTex expression showing 42y to the power of 2 + 42y - 42
e A LaTex expression showing 42y to the power of 2 + 42y - 42
f A LaTex expression showing 42y to the power of 2 - 42y - 42
7
Which answer is the same expression as this
A LaTex expression showing (6m - 9)(6m + 4)
a A LaTex expression showing 36m to the power of 2 - 30m - 36
b A LaTex expression showing 36m to the power of 2 + 36m - 36
c A LaTex expression showing 36m to the power of 2 + 36m - 36
d A LaTex expression showing 36m to the power of 2 - 36m - 36
e A LaTex expression showing 36m to the power of 2 - 36m + 36
f A LaTex expression showing 36m to the power of 2 - 36m - 36