Special Products: Binomials & Trinomials

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Quiz on special product formulas

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Joanna Consebido

Philippines

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Special Products: Binomials & Trinomials


Special Products: Binomials & TrinomialsOnline version Quiz on special product formulas by Joanna Consebido 1 Which expansion is correct for (a+b)^2? a a^2 + 2a + b^2 b a^2 + ab + b^2 c a^2 - 2ab + b^2 d a^2 + 2ab + b^2 2 What is (a−b)^2 expanded to? a a^2 − ab + b^2 b a^2 + 2ab + b^2 c a^2 − 2ab + b^2 d a^2 − b^2 3 Factor (a+b)(a−b) using a^2 and b^2. a a^2 + b^2 b a^2 − b^2 c (a−b)^2 d a^2 − 2ab 4 What is (a+b)^2 − (a−b)^2 simplified to? a 0 b 4ab c a^2 − b^2 d 2ab 5 Expand (a+b+c)^2. a a^2 + b^2 + c^2 + 2ab + 2ac + 2bc b a^2 + b^2 + c^2 c a^2 + b^2 + c^2 + ab + ac + bc d (a+b+c)^2 = a^2+b^2+c^2+ab+ac+bc 6 Which expression is a perfect square trinomial? a a^2 + b^2 b a^2 + 2ab + b^2 c a^2 − 2ab + b^2 d a^2 + 2ac + c^2 7 What is (x+y)^2 − (x+y)(x−y)? a x^2+y^2 b 0 c 2xy d 2y^2 8 If you factor a^2 − b^2, which form do you get? a a^2 − ab − b^2 b (a+b)^2 c (a+b)(a−b) d (a−b)^2 9 Which is the expansion of (a+ b)^2 when a=b? a 2a^2 b a^2 c 0 d 4a^2 10 What is the expansion of (a−b+c)^2? a a^2 + b^2 + c^2 − 2ab − 2ac − 2bc b a^2 + b^2 + c^2 + ab + ac + bc c a^2 + b^2 + c^2 − 2ab + 2ac − 2bc d a^2 + b^2 + c^2 + 2ab + 2ac + 2bc Feedback 1 The square of a sum uses 2ab for the middle term. 2 Square of a difference gives −2ab in the middle. 3 This is the difference of squares rule. 4 Difference of squares simplifies to 4ab. 5 Includes cross terms 2ab, 2ac, 2bc. 6 A perfect square trinomial has middle term 2ab. 7 Use expansion to find the remaining terms. 8 Difference of squares factors into sum and difference. 9 If a=b, (a+b)^2 = (2a)^2 = 4a^2. 10 Square expands to all squares plus twice pairwise products with signs.

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Special Products: Binomials & Trinomials

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Special Products: Binomials & TrinomialsOnline version

by Joanna Consebido

Which expansion is correct for (a+b)^2?

What is (a−b)^2 expanded to?

Factor (a+b)(a−b) using a^2 and b^2.

What is (a+b)^2 − (a−b)^2 simplified to?

Expand (a+b+c)^2.

Which expression is a perfect square trinomial?

What is (x+y)^2 − (x+y)(x−y)?

If you factor a^2 − b^2, which form do you get?

Which is the expansion of (a+ b)^2 when a=b?

What is the expansion of (a−b+c)^2?

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