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Algebraic expressions worksheet

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Algebraic expressions
Level 3 · Expanding double brackets
Expand the brackets and simplify.
1.
(x+9)(x−8)=‾(x + 9)(x - 8) = \underline{\hspace{4.5em}}
2.
(x+7)(x+8)=‾(x + 7)(x + 8) = \underline{\hspace{4.5em}}
3.
(x−1)(x−5)=‾(x - 1)(x - 5) = \underline{\hspace{4.5em}}
4.
(x+2)2=‾(x + 2)^2 = \underline{\hspace{4.5em}}
5.
(x+3)2=‾(x + 3)^2 = \underline{\hspace{4.5em}}
6.
(x−4)2=‾(x - 4)^2 = \underline{\hspace{4.5em}}
7.
(x−6)2=‾(x - 6)^2 = \underline{\hspace{4.5em}}
8.
(x+1)(x−1)=‾(x + 1)(x - 1) = \underline{\hspace{4.5em}}
9.
(2x−3)(2x+4)=‾(2x - 3)(2x + 4) = \underline{\hspace{4.5em}}
10.
(4x+3)(3x+3)=‾(4x + 3)(3x + 3) = \underline{\hspace{4.5em}}
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Answer key
Algebraic expressions · Level 3 · Expanding double brackets
1.x2+x−72x^{2} + x - 72
2.x2+15x+56x^{2} + 15x + 56
3.x2−6x+5x^{2} - 6x + 5
4.x2+4x+4x^{2} + 4x + 4
5.x2+6x+9x^{2} + 6x + 9
6.x2−8x+16x^{2} - 8x + 16
7.x2−12x+36x^{2} - 12x + 36
8.x2−1x^{2} - 1
9.4x2+2x−124x^{2} + 2x - 12
10.12x2+21x+912x^{2} + 21x + 9
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