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Gr 9 MATH: Ch 5.3 Factorise Algebraic Expressions

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Gr 9 MATH: Ch 5.3 Factorise Algebraic Expressions

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Questions and Answers

What is the expansion of the binomial $(x + a)(x + b)$?

$x^2 + (a - b)x + ab$

$x^2 + (2a + b)x + ab$

$x^2 + (a + 2b)x + ab$

$x^2 + (a + b)x + ab$ (correct)

What is the general form for the square of a binomial $(a + b)$?

$a^2 + 2ab + b^2$ (correct)

$a^2 + 3ab + b^2$

$a^2 + ab + b^2$

$a^2 - ab + b^2$

What is the expansion of the binomial $(x - y)(x + z)$?

$x^2 + (y + z)x - yz$

$x^2 + (y - z)x + yz$

$x^2 + (y + z)x + yz$

$x^2 + (z - y)x - yz$ (correct)

What is the purpose of substituting specific values for variables in algebraic expressions?

To check for equivalence and simplification Signup and view all the answers

What is the expansion of the binomial $(a - b)^2$?

$a^2 - 2ab + b^2$ Signup and view all the answers

What is the expansion of the product of $(x + a)$ and $(x - a)$?

$x^2 - a^2 Signup and view all the answers

If $x^2 + 5x + 6 = (x + a)(x + b)$, what is the value of $a$ and $b$?

$a = 2, b = 3 Signup and view all the answers

What is the expansion of $(x + 2y)^2?

$x^2 + 4y^2 + 4xy Signup and view all the answers

If $(a + b)^2 = 9x^2 + 12x + 4$, what is the value of $a$ and $b$?

$a = 3x, b = 2 Signup and view all the answers

What is the expansion of $(x + 2y)(x - 3y)$?

$x^2 - 5xy - 6y^2 Signup and view all the answers